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Finding the Third Proportional to 896,166 and 1,419,723

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Solution

The third proportional to 896,166 and 1,419,723 is: 2,249,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,166 : 1,419,723 = 1,419,723 : x
  2. Step 2: Convert to fraction form
    896,166/1,419,723 = 1,419,723/x
  3. Step 3: Cross multiply
    896,166x = 1,419,723 × 1,419,723
  4. Step 4: Simplify right side
    896,166x = 2,015,613,396,729
  5. Step 5: Solve for x
    x = 2,015,613,396,729/896,166
  6. Step 6: Final answer
    x = 2,249,151.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.