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Finding the Third Proportional to 4,238,132 and 6,340,264

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Solution

The third proportional to 4,238,132 and 6,340,264 is: 9,485,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238,132 : 6,340,264 = 6,340,264 : x
  2. Step 2: Convert to fraction form
    4,238,132/6,340,264 = 6,340,264/x
  3. Step 3: Cross multiply
    4,238,132x = 6,340,264 × 6,340,264
  4. Step 4: Simplify right side
    4,238,132x = 40,198,947,589,696
  5. Step 5: Solve for x
    x = 40,198,947,589,696/4,238,132
  6. Step 6: Final answer
    x = 9,485,062.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.