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Finding the Third Proportional to 3,835,400 and 6,391,566

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Solution

The third proportional to 3,835,400 and 6,391,566 is: 10,651,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,400 : 6,391,566 = 6,391,566 : x
  2. Step 2: Convert to fraction form
    3,835,400/6,391,566 = 6,391,566/x
  3. Step 3: Cross multiply
    3,835,400x = 6,391,566 × 6,391,566
  4. Step 4: Simplify right side
    3,835,400x = 40,852,115,932,356
  5. Step 5: Solve for x
    x = 40,852,115,932,356/3,835,400
  6. Step 6: Final answer
    x = 10,651,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.