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Finding the Third Proportional to 564,392 and 1,231,608

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Solution

The third proportional to 564,392 and 1,231,608 is: 2,687,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,392 : 1,231,608 = 1,231,608 : x
  2. Step 2: Convert to fraction form
    564,392/1,231,608 = 1,231,608/x
  3. Step 3: Cross multiply
    564,392x = 1,231,608 × 1,231,608
  4. Step 4: Simplify right side
    564,392x = 1,516,858,265,664
  5. Step 5: Solve for x
    x = 1,516,858,265,664/564,392
  6. Step 6: Final answer
    x = 2,687,597.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.