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Finding the Third Proportional to 971,149.50 and 1,519,003.13

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Solution

The third proportional to 971,149.50 and 1,519,003.13 is: 2,375,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,149.50 : 1,519,003.13 = 1,519,003.13 : x
  2. Step 2: Convert to fraction form
    971,149.50/1,519,003.13 = 1,519,003.13/x
  3. Step 3: Cross multiply
    971,149.50x = 1,519,003.13 × 1,519,003.13
  4. Step 4: Simplify right side
    971,149.50x = 2,307,370,493,759.77
  5. Step 5: Solve for x
    x = 2,307,370,493,759.77/971,149.50
  6. Step 6: Final answer
    x = 2,375,916.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.