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Finding the Third Proportional to 2,454,234 and 5,732,080.50

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Solution

The third proportional to 2,454,234 and 5,732,080.50 is: 13,387,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,234 : 5,732,080.50 = 5,732,080.50 : x
  2. Step 2: Convert to fraction form
    2,454,234/5,732,080.50 = 5,732,080.50/x
  3. Step 3: Cross multiply
    2,454,234x = 5,732,080.50 × 5,732,080.50
  4. Step 4: Simplify right side
    2,454,234x = 32,856,746,858,480.25
  5. Step 5: Solve for x
    x = 32,856,746,858,480.25/2,454,234
  6. Step 6: Final answer
    x = 13,387,780.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.