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Finding the Third Proportional to 458,754 and 1,079,359.13

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Solution

The third proportional to 458,754 and 1,079,359.13 is: 2,539,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,754 : 1,079,359.13 = 1,079,359.13 : x
  2. Step 2: Convert to fraction form
    458,754/1,079,359.13 = 1,079,359.13/x
  3. Step 3: Cross multiply
    458,754x = 1,079,359.13 × 1,079,359.13
  4. Step 4: Simplify right side
    458,754x = 1,165,016,120,720.77
  5. Step 5: Solve for x
    x = 1,165,016,120,720.77/458,754
  6. Step 6: Final answer
    x = 2,539,522.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.