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Finding the Third Proportional to 707,472 and 1,081,872

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Solution

The third proportional to 707,472 and 1,081,872 is: 1,654,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,472 : 1,081,872 = 1,081,872 : x
  2. Step 2: Convert to fraction form
    707,472/1,081,872 = 1,081,872/x
  3. Step 3: Cross multiply
    707,472x = 1,081,872 × 1,081,872
  4. Step 4: Simplify right side
    707,472x = 1,170,447,024,384
  5. Step 5: Solve for x
    x = 1,170,447,024,384/707,472
  6. Step 6: Final answer
    x = 1,654,407.56

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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.