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Finding the Third Proportional to 739,510.75 and 1,056,778.13

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Solution

The third proportional to 739,510.75 and 1,056,778.13 is: 1,510,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,510.75 : 1,056,778.13 = 1,056,778.13 : x
  2. Step 2: Convert to fraction form
    739,510.75/1,056,778.13 = 1,056,778.13/x
  3. Step 3: Cross multiply
    739,510.75x = 1,056,778.13 × 1,056,778.13
  4. Step 4: Simplify right side
    739,510.75x = 1,116,780,005,478.52
  5. Step 5: Solve for x
    x = 1,116,780,005,478.52/739,510.75
  6. Step 6: Final answer
    x = 1,510,160.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.