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Finding the Third Proportional to 605,488 and 937,534

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Solution

The third proportional to 605,488 and 937,534 is: 1,451,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,488 : 937,534 = 937,534 : x
  2. Step 2: Convert to fraction form
    605,488/937,534 = 937,534/x
  3. Step 3: Cross multiply
    605,488x = 937,534 × 937,534
  4. Step 4: Simplify right side
    605,488x = 878,970,001,156
  5. Step 5: Solve for x
    x = 878,970,001,156/605,488
  6. Step 6: Final answer
    x = 1,451,672.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.