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Finding the Third Proportional to 3,865,654 and 5,680,150

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Solution

The third proportional to 3,865,654 and 5,680,150 is: 8,346,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,654 : 5,680,150 = 5,680,150 : x
  2. Step 2: Convert to fraction form
    3,865,654/5,680,150 = 5,680,150/x
  3. Step 3: Cross multiply
    3,865,654x = 5,680,150 × 5,680,150
  4. Step 4: Simplify right side
    3,865,654x = 32,264,104,022,500
  5. Step 5: Solve for x
    x = 32,264,104,022,500/3,865,654
  6. Step 6: Final answer
    x = 8,346,350.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.