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Finding the Third Proportional to 836,182 and 1,234,590

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Solution

The third proportional to 836,182 and 1,234,590 is: 1,822,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,182 : 1,234,590 = 1,234,590 : x
  2. Step 2: Convert to fraction form
    836,182/1,234,590 = 1,234,590/x
  3. Step 3: Cross multiply
    836,182x = 1,234,590 × 1,234,590
  4. Step 4: Simplify right side
    836,182x = 1,524,212,468,100
  5. Step 5: Solve for x
    x = 1,524,212,468,100/836,182
  6. Step 6: Final answer
    x = 1,822,823.82

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Why These Related Problems?

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