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Finding the Third Proportional to 656,827 and 1,414,945

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Solution

The third proportional to 656,827 and 1,414,945 is: 3,048,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,827 : 1,414,945 = 1,414,945 : x
  2. Step 2: Convert to fraction form
    656,827/1,414,945 = 1,414,945/x
  3. Step 3: Cross multiply
    656,827x = 1,414,945 × 1,414,945
  4. Step 4: Simplify right side
    656,827x = 2,002,069,353,025
  5. Step 5: Solve for x
    x = 2,002,069,353,025/656,827
  6. Step 6: Final answer
    x = 3,048,092.35

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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.