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Finding the Third Proportional to 561,676 and 1,218,608

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Solution

The third proportional to 561,676 and 1,218,608 is: 2,643,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,676 : 1,218,608 = 1,218,608 : x
  2. Step 2: Convert to fraction form
    561,676/1,218,608 = 1,218,608/x
  3. Step 3: Cross multiply
    561,676x = 1,218,608 × 1,218,608
  4. Step 4: Simplify right side
    561,676x = 1,485,005,457,664
  5. Step 5: Solve for x
    x = 1,485,005,457,664/561,676
  6. Step 6: Final answer
    x = 2,643,882.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.