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Finding the Third Proportional to 814,002 and 1,196,617

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Solution

The third proportional to 814,002 and 1,196,617 is: 1,759,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,002 : 1,196,617 = 1,196,617 : x
  2. Step 2: Convert to fraction form
    814,002/1,196,617 = 1,196,617/x
  3. Step 3: Cross multiply
    814,002x = 1,196,617 × 1,196,617
  4. Step 4: Simplify right side
    814,002x = 1,431,892,244,689
  5. Step 5: Solve for x
    x = 1,431,892,244,689/814,002
  6. Step 6: Final answer
    x = 1,759,077.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.