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Finding the Third Proportional to 656,849 and 1,414,988

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Solution

The third proportional to 656,849 and 1,414,988 is: 3,048,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,849 : 1,414,988 = 1,414,988 : x
  2. Step 2: Convert to fraction form
    656,849/1,414,988 = 1,414,988/x
  3. Step 3: Cross multiply
    656,849x = 1,414,988 × 1,414,988
  4. Step 4: Simplify right side
    656,849x = 2,002,191,040,144
  5. Step 5: Solve for x
    x = 2,002,191,040,144/656,849
  6. Step 6: Final answer
    x = 3,048,175.52

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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.