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Finding the Third Proportional to 2,649,125 and 5,897,812

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Solution

The third proportional to 2,649,125 and 5,897,812 is: 13,130,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,125 : 5,897,812 = 5,897,812 : x
  2. Step 2: Convert to fraction form
    2,649,125/5,897,812 = 5,897,812/x
  3. Step 3: Cross multiply
    2,649,125x = 5,897,812 × 5,897,812
  4. Step 4: Simplify right side
    2,649,125x = 34,784,186,387,344
  5. Step 5: Solve for x
    x = 34,784,186,387,344/2,649,125
  6. Step 6: Final answer
    x = 13,130,443.59

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.