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Finding the Third Proportional to 715,800 and 1,559,472

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Solution

The third proportional to 715,800 and 1,559,472 is: 3,397,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,800 : 1,559,472 = 1,559,472 : x
  2. Step 2: Convert to fraction form
    715,800/1,559,472 = 1,559,472/x
  3. Step 3: Cross multiply
    715,800x = 1,559,472 × 1,559,472
  4. Step 4: Simplify right side
    715,800x = 2,431,952,918,784
  5. Step 5: Solve for x
    x = 2,431,952,918,784/715,800
  6. Step 6: Final answer
    x = 3,397,531.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.