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Finding the Third Proportional to 2,244,940 and 4,924,507

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Solution

The third proportional to 2,244,940 and 4,924,507 is: 10,802,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244,940 : 4,924,507 = 4,924,507 : x
  2. Step 2: Convert to fraction form
    2,244,940/4,924,507 = 4,924,507/x
  3. Step 3: Cross multiply
    2,244,940x = 4,924,507 × 4,924,507
  4. Step 4: Simplify right side
    2,244,940x = 24,250,769,193,049
  5. Step 5: Solve for x
    x = 24,250,769,193,049/2,244,940
  6. Step 6: Final answer
    x = 10,802,413.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.