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Finding the Third Proportional to 564,848 and 1,244,278

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Solution

The third proportional to 564,848 and 1,244,278 is: 2,740,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,848 : 1,244,278 = 1,244,278 : x
  2. Step 2: Convert to fraction form
    564,848/1,244,278 = 1,244,278/x
  3. Step 3: Cross multiply
    564,848x = 1,244,278 × 1,244,278
  4. Step 4: Simplify right side
    564,848x = 1,548,227,741,284
  5. Step 5: Solve for x
    x = 1,548,227,741,284/564,848
  6. Step 6: Final answer
    x = 2,740,963.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.