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Finding the Third Proportional to 443,065.31 and 971,902.13

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Solution

The third proportional to 443,065.31 and 971,902.13 is: 2,131,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,065.31 : 971,902.13 = 971,902.13 : x
  2. Step 2: Convert to fraction form
    443,065.31/971,902.13 = 971,902.13/x
  3. Step 3: Cross multiply
    443,065.31x = 971,902.13 × 971,902.13
  4. Step 4: Simplify right side
    443,065.31x = 944,593,740,579.52
  5. Step 5: Solve for x
    x = 944,593,740,579.52/443,065.31
  6. Step 6: Final answer
    x = 2,131,951.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.