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Finding the Third Proportional to 1,070,523 and 1,639,691

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Solution

The third proportional to 1,070,523 and 1,639,691 is: 2,511,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,523 : 1,639,691 = 1,639,691 : x
  2. Step 2: Convert to fraction form
    1,070,523/1,639,691 = 1,639,691/x
  3. Step 3: Cross multiply
    1,070,523x = 1,639,691 × 1,639,691
  4. Step 4: Simplify right side
    1,070,523x = 2,688,586,575,481
  5. Step 5: Solve for x
    x = 2,688,586,575,481/1,070,523
  6. Step 6: Final answer
    x = 2,511,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.