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Finding the Third Proportional to 2,321,906 and 4,924,757

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Solution

The third proportional to 2,321,906 and 4,924,757 is: 10,445,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,906 : 4,924,757 = 4,924,757 : x
  2. Step 2: Convert to fraction form
    2,321,906/4,924,757 = 4,924,757/x
  3. Step 3: Cross multiply
    2,321,906x = 4,924,757 × 4,924,757
  4. Step 4: Simplify right side
    2,321,906x = 24,253,231,509,049
  5. Step 5: Solve for x
    x = 24,253,231,509,049/2,321,906
  6. Step 6: Final answer
    x = 10,445,397.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.