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Finding the Third Proportional to 636,234.75 and 1,363,546.13

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Solution

The third proportional to 636,234.75 and 1,363,546.13 is: 2,922,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,234.75 : 1,363,546.13 = 1,363,546.13 : x
  2. Step 2: Convert to fraction form
    636,234.75/1,363,546.13 = 1,363,546.13/x
  3. Step 3: Cross multiply
    636,234.75x = 1,363,546.13 × 1,363,546.13
  4. Step 4: Simplify right side
    636,234.75x = 1,859,258,035,002.52
  5. Step 5: Solve for x
    x = 1,859,258,035,002.52/636,234.75
  6. Step 6: Final answer
    x = 2,922,283.06

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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.