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Finding the Third Proportional to 534,156 and 1,248,414

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Solution

The third proportional to 534,156 and 1,248,414 is: 2,917,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,156 : 1,248,414 = 1,248,414 : x
  2. Step 2: Convert to fraction form
    534,156/1,248,414 = 1,248,414/x
  3. Step 3: Cross multiply
    534,156x = 1,248,414 × 1,248,414
  4. Step 4: Simplify right side
    534,156x = 1,558,537,515,396
  5. Step 5: Solve for x
    x = 1,558,537,515,396/534,156
  6. Step 6: Final answer
    x = 2,917,757.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.