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Finding the Third Proportional to 521,569 and 1,142,687

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Solution

The third proportional to 521,569 and 1,142,687 is: 2,503,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,569 : 1,142,687 = 1,142,687 : x
  2. Step 2: Convert to fraction form
    521,569/1,142,687 = 1,142,687/x
  3. Step 3: Cross multiply
    521,569x = 1,142,687 × 1,142,687
  4. Step 4: Simplify right side
    521,569x = 1,305,733,579,969
  5. Step 5: Solve for x
    x = 1,305,733,579,969/521,569
  6. Step 6: Final answer
    x = 2,503,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.