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Finding the Third Proportional to 2,398,677 and 5,195,934

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Solution

The third proportional to 2,398,677 and 5,195,934 is: 11,255,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,677 : 5,195,934 = 5,195,934 : x
  2. Step 2: Convert to fraction form
    2,398,677/5,195,934 = 5,195,934/x
  3. Step 3: Cross multiply
    2,398,677x = 5,195,934 × 5,195,934
  4. Step 4: Simplify right side
    2,398,677x = 26,997,730,132,356
  5. Step 5: Solve for x
    x = 26,997,730,132,356/2,398,677
  6. Step 6: Final answer
    x = 11,255,258.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.