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Finding the Third Proportional to 2,434,083.75 and 3,854,310.75

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Solution

The third proportional to 2,434,083.75 and 3,854,310.75 is: 6,103,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,083.75 : 3,854,310.75 = 3,854,310.75 : x
  2. Step 2: Convert to fraction form
    2,434,083.75/3,854,310.75 = 3,854,310.75/x
  3. Step 3: Cross multiply
    2,434,083.75x = 3,854,310.75 × 3,854,310.75
  4. Step 4: Simplify right side
    2,434,083.75x = 14,855,711,357,565.56
  5. Step 5: Solve for x
    x = 14,855,711,357,565.56/2,434,083.75
  6. Step 6: Final answer
    x = 6,103,204.69

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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.