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Finding the Third Proportional to 722,469 and 1,587,948

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Solution

The third proportional to 722,469 and 1,587,948 is: 3,490,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,469 : 1,587,948 = 1,587,948 : x
  2. Step 2: Convert to fraction form
    722,469/1,587,948 = 1,587,948/x
  3. Step 3: Cross multiply
    722,469x = 1,587,948 × 1,587,948
  4. Step 4: Simplify right side
    722,469x = 2,521,578,850,704
  5. Step 5: Solve for x
    x = 2,521,578,850,704/722,469
  6. Step 6: Final answer
    x = 3,490,224.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.