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Finding the Third Proportional to 2,587,164 and 5,442,424

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Solution

The third proportional to 2,587,164 and 5,442,424 is: 11,448,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,164 : 5,442,424 = 5,442,424 : x
  2. Step 2: Convert to fraction form
    2,587,164/5,442,424 = 5,442,424/x
  3. Step 3: Cross multiply
    2,587,164x = 5,442,424 × 5,442,424
  4. Step 4: Simplify right side
    2,587,164x = 29,619,978,995,776
  5. Step 5: Solve for x
    x = 29,619,978,995,776/2,587,164
  6. Step 6: Final answer
    x = 11,448,821.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.