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Finding the Third Proportional to 521,052.75 and 1,013,401.13

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Solution

The third proportional to 521,052.75 and 1,013,401.13 is: 1,970,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052.75 : 1,013,401.13 = 1,013,401.13 : x
  2. Step 2: Convert to fraction form
    521,052.75/1,013,401.13 = 1,013,401.13/x
  3. Step 3: Cross multiply
    521,052.75x = 1,013,401.13 × 1,013,401.13
  4. Step 4: Simplify right side
    521,052.75x = 1,026,981,840,151.27
  5. Step 5: Solve for x
    x = 1,026,981,840,151.27/521,052.75
  6. Step 6: Final answer
    x = 1,970,974.80

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.