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Finding the Third Proportional to 3,891,206.25 and 6,216,234

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Solution

The third proportional to 3,891,206.25 and 6,216,234 is: 9,930,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891,206.25 : 6,216,234 = 6,216,234 : x
  2. Step 2: Convert to fraction form
    3,891,206.25/6,216,234 = 6,216,234/x
  3. Step 3: Cross multiply
    3,891,206.25x = 6,216,234 × 6,216,234
  4. Step 4: Simplify right side
    3,891,206.25x = 38,641,565,142,756
  5. Step 5: Solve for x
    x = 38,641,565,142,756/3,891,206.25
  6. Step 6: Final answer
    x = 9,930,484.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.