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Finding the Third Proportional to 564,138 and 1,174,934

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Solution

The third proportional to 564,138 and 1,174,934 is: 2,447,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,138 : 1,174,934 = 1,174,934 : x
  2. Step 2: Convert to fraction form
    564,138/1,174,934 = 1,174,934/x
  3. Step 3: Cross multiply
    564,138x = 1,174,934 × 1,174,934
  4. Step 4: Simplify right side
    564,138x = 1,380,469,904,356
  5. Step 5: Solve for x
    x = 1,380,469,904,356/564,138
  6. Step 6: Final answer
    x = 2,447,042.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.