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Finding the Third Proportional to 1,041,593,901 and 1,586,809,815.75

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Solution

The third proportional to 1,041,593,901 and 1,586,809,815.75 is: 2,417,415,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,593,901 : 1,586,809,815.75 = 1,586,809,815.75 : x
  2. Step 2: Convert to fraction form
    1,041,593,901/1,586,809,815.75 = 1,586,809,815.75/x
  3. Step 3: Cross multiply
    1,041,593,901x = 1,586,809,815.75 × 1,586,809,815.75
  4. Step 4: Simplify right side
    1,041,593,901x = 2,517,965,391,360,548,864
  5. Step 5: Solve for x
    x = 2,517,965,391,360,548,864/1,041,593,901
  6. Step 6: Final answer
    x = 2,417,415,644.37

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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.