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Finding the Third Proportional to 2,609,384 and 5,397,758

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Solution

The third proportional to 2,609,384 and 5,397,758 is: 11,165,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,384 : 5,397,758 = 5,397,758 : x
  2. Step 2: Convert to fraction form
    2,609,384/5,397,758 = 5,397,758/x
  3. Step 3: Cross multiply
    2,609,384x = 5,397,758 × 5,397,758
  4. Step 4: Simplify right side
    2,609,384x = 29,135,791,426,564
  5. Step 5: Solve for x
    x = 29,135,791,426,564/2,609,384
  6. Step 6: Final answer
    x = 11,165,773.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.