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Finding the Third Proportional to 2,244,849 and 3,423,320.25

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Solution

The third proportional to 2,244,849 and 3,423,320.25 is: 5,220,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244,849 : 3,423,320.25 = 3,423,320.25 : x
  2. Step 2: Convert to fraction form
    2,244,849/3,423,320.25 = 3,423,320.25/x
  3. Step 3: Cross multiply
    2,244,849x = 3,423,320.25 × 3,423,320.25
  4. Step 4: Simplify right side
    2,244,849x = 11,719,121,534,060.06
  5. Step 5: Solve for x
    x = 11,719,121,534,060.06/2,244,849
  6. Step 6: Final answer
    x = 5,220,449.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.