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Finding the Third Proportional to 749,009.53 and 1,158,472.13

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Solution

The third proportional to 749,009.53 and 1,158,472.13 is: 1,791,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,009.53 : 1,158,472.13 = 1,158,472.13 : x
  2. Step 2: Convert to fraction form
    749,009.53/1,158,472.13 = 1,158,472.13/x
  3. Step 3: Cross multiply
    749,009.53x = 1,158,472.13 × 1,158,472.13
  4. Step 4: Simplify right side
    749,009.53x = 1,342,057,664,402.02
  5. Step 5: Solve for x
    x = 1,342,057,664,402.02/749,009.53
  6. Step 6: Final answer
    x = 1,791,776.48

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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.