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Finding the Third Proportional to 2,522,208 and 5,534,952

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Solution

The third proportional to 2,522,208 and 5,534,952 is: 12,146,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522,208 : 5,534,952 = 5,534,952 : x
  2. Step 2: Convert to fraction form
    2,522,208/5,534,952 = 5,534,952/x
  3. Step 3: Cross multiply
    2,522,208x = 5,534,952 × 5,534,952
  4. Step 4: Simplify right side
    2,522,208x = 30,635,693,642,304
  5. Step 5: Solve for x
    x = 30,635,693,642,304/2,522,208
  6. Step 6: Final answer
    x = 12,146,378.75

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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.