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Finding the Third Proportional to 966,823.50 and 2,105,691

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Solution

The third proportional to 966,823.50 and 2,105,691 is: 4,586,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,823.50 : 2,105,691 = 2,105,691 : x
  2. Step 2: Convert to fraction form
    966,823.50/2,105,691 = 2,105,691/x
  3. Step 3: Cross multiply
    966,823.50x = 2,105,691 × 2,105,691
  4. Step 4: Simplify right side
    966,823.50x = 4,433,934,587,481
  5. Step 5: Solve for x
    x = 4,433,934,587,481/966,823.50
  6. Step 6: Final answer
    x = 4,586,084.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.