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Finding the Third Proportional to 713,694 and 1,104,561

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Solution

The third proportional to 713,694 and 1,104,561 is: 1,709,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,694 : 1,104,561 = 1,104,561 : x
  2. Step 2: Convert to fraction form
    713,694/1,104,561 = 1,104,561/x
  3. Step 3: Cross multiply
    713,694x = 1,104,561 × 1,104,561
  4. Step 4: Simplify right side
    713,694x = 1,220,055,002,721
  5. Step 5: Solve for x
    x = 1,220,055,002,721/713,694
  6. Step 6: Final answer
    x = 1,709,493.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.