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Finding the Third Proportional to 656,517 and 1,412,826

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Solution

The third proportional to 656,517 and 1,412,826 is: 3,040,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,517 : 1,412,826 = 1,412,826 : x
  2. Step 2: Convert to fraction form
    656,517/1,412,826 = 1,412,826/x
  3. Step 3: Cross multiply
    656,517x = 1,412,826 × 1,412,826
  4. Step 4: Simplify right side
    656,517x = 1,996,077,306,276
  5. Step 5: Solve for x
    x = 1,996,077,306,276/656,517
  6. Step 6: Final answer
    x = 3,040,404.60

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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.