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Finding the Third Proportional to 3,986,034 and 6,189,051

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Solution

The third proportional to 3,986,034 and 6,189,051 is: 9,609,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,034 : 6,189,051 = 6,189,051 : x
  2. Step 2: Convert to fraction form
    3,986,034/6,189,051 = 6,189,051/x
  3. Step 3: Cross multiply
    3,986,034x = 6,189,051 × 6,189,051
  4. Step 4: Simplify right side
    3,986,034x = 38,304,352,280,601
  5. Step 5: Solve for x
    x = 38,304,352,280,601/3,986,034
  6. Step 6: Final answer
    x = 9,609,640.13

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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.