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Finding the Third Proportional to 561,650 and 1,218,628

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Solution

The third proportional to 561,650 and 1,218,628 is: 2,644,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,650 : 1,218,628 = 1,218,628 : x
  2. Step 2: Convert to fraction form
    561,650/1,218,628 = 1,218,628/x
  3. Step 3: Cross multiply
    561,650x = 1,218,628 × 1,218,628
  4. Step 4: Simplify right side
    561,650x = 1,485,054,202,384
  5. Step 5: Solve for x
    x = 1,485,054,202,384/561,650
  6. Step 6: Final answer
    x = 2,644,091.88

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Why These Related Problems?

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