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Finding the Third Proportional to 1,041,593,644.50 and 1,586,809,546.50

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Solution

The third proportional to 1,041,593,644.50 and 1,586,809,546.50 is: 2,417,415,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,593,644.50 : 1,586,809,546.50 = 1,586,809,546.50 : x
  2. Step 2: Convert to fraction form
    1,041,593,644.50/1,586,809,546.50 = 1,586,809,546.50/x
  3. Step 3: Cross multiply
    1,041,593,644.50x = 1,586,809,546.50 × 1,586,809,546.50
  4. Step 4: Simplify right side
    1,041,593,644.50x = 2,517,964,536,863,535,616
  5. Step 5: Solve for x
    x = 2,517,964,536,863,535,616/1,041,593,644.50
  6. Step 6: Final answer
    x = 2,417,415,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.