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Finding the Third Proportional to 656,773.25 and 1,414,864

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Solution

The third proportional to 656,773.25 and 1,414,864 is: 3,047,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,773.25 : 1,414,864 = 1,414,864 : x
  2. Step 2: Convert to fraction form
    656,773.25/1,414,864 = 1,414,864/x
  3. Step 3: Cross multiply
    656,773.25x = 1,414,864 × 1,414,864
  4. Step 4: Simplify right side
    656,773.25x = 2,001,840,138,496
  5. Step 5: Solve for x
    x = 2,001,840,138,496/656,773.25
  6. Step 6: Final answer
    x = 3,047,992.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.