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Finding the Third Proportional to 564,039 and 1,239,696

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Solution

The third proportional to 564,039 and 1,239,696 is: 2,724,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,039 : 1,239,696 = 1,239,696 : x
  2. Step 2: Convert to fraction form
    564,039/1,239,696 = 1,239,696/x
  3. Step 3: Cross multiply
    564,039x = 1,239,696 × 1,239,696
  4. Step 4: Simplify right side
    564,039x = 1,536,846,172,416
  5. Step 5: Solve for x
    x = 1,536,846,172,416/564,039
  6. Step 6: Final answer
    x = 2,724,716.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.