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Finding the Third Proportional to 836,174 and 1,234,578

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Solution

The third proportional to 836,174 and 1,234,578 is: 1,822,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,174 : 1,234,578 = 1,234,578 : x
  2. Step 2: Convert to fraction form
    836,174/1,234,578 = 1,234,578/x
  3. Step 3: Cross multiply
    836,174x = 1,234,578 × 1,234,578
  4. Step 4: Simplify right side
    836,174x = 1,524,182,838,084
  5. Step 5: Solve for x
    x = 1,524,182,838,084/836,174
  6. Step 6: Final answer
    x = 1,822,805.83

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.