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Finding the Third Proportional to 834,114.09 and 1,251,172.13

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Solution

The third proportional to 834,114.09 and 1,251,172.13 is: 1,876,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,114.09 : 1,251,172.13 = 1,251,172.13 : x
  2. Step 2: Convert to fraction form
    834,114.09/1,251,172.13 = 1,251,172.13/x
  3. Step 3: Cross multiply
    834,114.09x = 1,251,172.13 × 1,251,172.13
  4. Step 4: Simplify right side
    834,114.09x = 1,565,431,686,377.02
  5. Step 5: Solve for x
    x = 1,565,431,686,377.02/834,114.09
  6. Step 6: Final answer
    x = 1,876,759.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.