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Finding the Third Proportional to 3,652,400 and 5,677,540

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Solution

The third proportional to 3,652,400 and 5,677,540 is: 8,825,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652,400 : 5,677,540 = 5,677,540 : x
  2. Step 2: Convert to fraction form
    3,652,400/5,677,540 = 5,677,540/x
  3. Step 3: Cross multiply
    3,652,400x = 5,677,540 × 5,677,540
  4. Step 4: Simplify right side
    3,652,400x = 32,234,460,451,600
  5. Step 5: Solve for x
    x = 32,234,460,451,600/3,652,400
  6. Step 6: Final answer
    x = 8,825,555.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.