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Finding the Third Proportional to 2,281,468 and 3,189,822

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Solution

The third proportional to 2,281,468 and 3,189,822 is: 4,459,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,468 : 3,189,822 = 3,189,822 : x
  2. Step 2: Convert to fraction form
    2,281,468/3,189,822 = 3,189,822/x
  3. Step 3: Cross multiply
    2,281,468x = 3,189,822 × 3,189,822
  4. Step 4: Simplify right side
    2,281,468x = 10,174,964,391,684
  5. Step 5: Solve for x
    x = 10,174,964,391,684/2,281,468
  6. Step 6: Final answer
    x = 4,459,832.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.