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Finding the Third Proportional to 2,730,250 and 5,924,601

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Solution

The third proportional to 2,730,250 and 5,924,601 is: 12,856,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730,250 : 5,924,601 = 5,924,601 : x
  2. Step 2: Convert to fraction form
    2,730,250/5,924,601 = 5,924,601/x
  3. Step 3: Cross multiply
    2,730,250x = 5,924,601 × 5,924,601
  4. Step 4: Simplify right side
    2,730,250x = 35,100,897,009,201
  5. Step 5: Solve for x
    x = 35,100,897,009,201/2,730,250
  6. Step 6: Final answer
    x = 12,856,294.12

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Why These Related Problems?

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