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Finding the Third Proportional to 930,226.78 and 1,498,265.86

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Solution

The third proportional to 930,226.78 and 1,498,265.86 is: 2,413,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,226.78 : 1,498,265.86 = 1,498,265.86 : x
  2. Step 2: Convert to fraction form
    930,226.78/1,498,265.86 = 1,498,265.86/x
  3. Step 3: Cross multiply
    930,226.78x = 1,498,265.86 × 1,498,265.86
  4. Step 4: Simplify right side
    930,226.78x = 2,244,800,585,368.71
  5. Step 5: Solve for x
    x = 2,244,800,585,368.71/930,226.78
  6. Step 6: Final answer
    x = 2,413,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.