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Finding the Third Proportional to 1,301,394,081 and 1,982,584,464

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Solution

The third proportional to 1,301,394,081 and 1,982,584,464 is: 3,020,331,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,394,081 : 1,982,584,464 = 1,982,584,464 : x
  2. Step 2: Convert to fraction form
    1,301,394,081/1,982,584,464 = 1,982,584,464/x
  3. Step 3: Cross multiply
    1,301,394,081x = 1,982,584,464 × 1,982,584,464
  4. Step 4: Simplify right side
    1,301,394,081x = 3,930,641,156,894,167,040
  5. Step 5: Solve for x
    x = 3,930,641,156,894,167,040/1,301,394,081
  6. Step 6: Final answer
    x = 3,020,331,208.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.