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Finding the Third Proportional to 534,694 and 1,113,463

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Solution

The third proportional to 534,694 and 1,113,463 is: 2,318,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,694 : 1,113,463 = 1,113,463 : x
  2. Step 2: Convert to fraction form
    534,694/1,113,463 = 1,113,463/x
  3. Step 3: Cross multiply
    534,694x = 1,113,463 × 1,113,463
  4. Step 4: Simplify right side
    534,694x = 1,239,799,852,369
  5. Step 5: Solve for x
    x = 1,239,799,852,369/534,694
  6. Step 6: Final answer
    x = 2,318,709.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.