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Finding the Third Proportional to 644,583.38 and 1,366,005.94

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Solution

The third proportional to 644,583.38 and 1,366,005.94 is: 2,894,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,583.38 : 1,366,005.94 = 1,366,005.94 : x
  2. Step 2: Convert to fraction form
    644,583.38/1,366,005.94 = 1,366,005.94/x
  3. Step 3: Cross multiply
    644,583.38x = 1,366,005.94 × 1,366,005.94
  4. Step 4: Simplify right side
    644,583.38x = 1,865,972,221,285.25
  5. Step 5: Solve for x
    x = 1,865,972,221,285.25/644,583.38
  6. Step 6: Final answer
    x = 2,894,850.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.