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Finding the Third Proportional to 4,290,640 and 6,361,743

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Solution

The third proportional to 4,290,640 and 6,361,743 is: 9,432,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290,640 : 6,361,743 = 6,361,743 : x
  2. Step 2: Convert to fraction form
    4,290,640/6,361,743 = 6,361,743/x
  3. Step 3: Cross multiply
    4,290,640x = 6,361,743 × 6,361,743
  4. Step 4: Simplify right side
    4,290,640x = 40,471,773,998,049
  5. Step 5: Solve for x
    x = 40,471,773,998,049/4,290,640
  6. Step 6: Final answer
    x = 9,432,572.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.