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Finding the Third Proportional to 521,344 and 1,142,472

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Solution

The third proportional to 521,344 and 1,142,472 is: 2,503,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,344 : 1,142,472 = 1,142,472 : x
  2. Step 2: Convert to fraction form
    521,344/1,142,472 = 1,142,472/x
  3. Step 3: Cross multiply
    521,344x = 1,142,472 × 1,142,472
  4. Step 4: Simplify right side
    521,344x = 1,305,242,270,784
  5. Step 5: Solve for x
    x = 1,305,242,270,784/521,344
  6. Step 6: Final answer
    x = 2,503,610.42

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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.