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Finding the Third Proportional to 2,434,080.38 and 3,854,304

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Solution

The third proportional to 2,434,080.38 and 3,854,304 is: 6,103,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,080.38 : 3,854,304 = 3,854,304 : x
  2. Step 2: Convert to fraction form
    2,434,080.38/3,854,304 = 3,854,304/x
  3. Step 3: Cross multiply
    2,434,080.38x = 3,854,304 × 3,854,304
  4. Step 4: Simplify right side
    2,434,080.38x = 14,855,659,324,416
  5. Step 5: Solve for x
    x = 14,855,659,324,416/2,434,080.38
  6. Step 6: Final answer
    x = 6,103,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.