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Finding the Third Proportional to 564,502 and 1,206,692

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Solution

The third proportional to 564,502 and 1,206,692 is: 2,579,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,502 : 1,206,692 = 1,206,692 : x
  2. Step 2: Convert to fraction form
    564,502/1,206,692 = 1,206,692/x
  3. Step 3: Cross multiply
    564,502x = 1,206,692 × 1,206,692
  4. Step 4: Simplify right side
    564,502x = 1,456,105,582,864
  5. Step 5: Solve for x
    x = 1,456,105,582,864/564,502
  6. Step 6: Final answer
    x = 2,579,451.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.