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Finding the Third Proportional to 996,346 and 1,586,161.50

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Solution

The third proportional to 996,346 and 1,586,161.50 is: 2,525,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,346 : 1,586,161.50 = 1,586,161.50 : x
  2. Step 2: Convert to fraction form
    996,346/1,586,161.50 = 1,586,161.50/x
  3. Step 3: Cross multiply
    996,346x = 1,586,161.50 × 1,586,161.50
  4. Step 4: Simplify right side
    996,346x = 2,515,908,304,082.25
  5. Step 5: Solve for x
    x = 2,515,908,304,082.25/996,346
  6. Step 6: Final answer
    x = 2,525,135.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.