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Finding the Third Proportional to 2,281,464 and 3,189,816

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Solution

The third proportional to 2,281,464 and 3,189,816 is: 4,459,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,464 : 3,189,816 = 3,189,816 : x
  2. Step 2: Convert to fraction form
    2,281,464/3,189,816 = 3,189,816/x
  3. Step 3: Cross multiply
    2,281,464x = 3,189,816 × 3,189,816
  4. Step 4: Simplify right side
    2,281,464x = 10,174,926,113,856
  5. Step 5: Solve for x
    x = 10,174,926,113,856/2,281,464
  6. Step 6: Final answer
    x = 4,459,823.22

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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.