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Finding the Third Proportional to 564,361 and 1,205,259

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Solution

The third proportional to 564,361 and 1,205,259 is: 2,573,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,361 : 1,205,259 = 1,205,259 : x
  2. Step 2: Convert to fraction form
    564,361/1,205,259 = 1,205,259/x
  3. Step 3: Cross multiply
    564,361x = 1,205,259 × 1,205,259
  4. Step 4: Simplify right side
    564,361x = 1,452,649,257,081
  5. Step 5: Solve for x
    x = 1,452,649,257,081/564,361
  6. Step 6: Final answer
    x = 2,573,971.73

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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.