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Finding the Third Proportional to 836,178 and 1,234,584

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Solution

The third proportional to 836,178 and 1,234,584 is: 1,822,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,178 : 1,234,584 = 1,234,584 : x
  2. Step 2: Convert to fraction form
    836,178/1,234,584 = 1,234,584/x
  3. Step 3: Cross multiply
    836,178x = 1,234,584 × 1,234,584
  4. Step 4: Simplify right side
    836,178x = 1,524,197,653,056
  5. Step 5: Solve for x
    x = 1,524,197,653,056/836,178
  6. Step 6: Final answer
    x = 1,822,814.82

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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.