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Finding the Third Proportional to 644,911 and 1,366,652

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Solution

The third proportional to 644,911 and 1,366,652 is: 2,896,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,911 : 1,366,652 = 1,366,652 : x
  2. Step 2: Convert to fraction form
    644,911/1,366,652 = 1,366,652/x
  3. Step 3: Cross multiply
    644,911x = 1,366,652 × 1,366,652
  4. Step 4: Simplify right side
    644,911x = 1,867,737,689,104
  5. Step 5: Solve for x
    x = 1,867,737,689,104/644,911
  6. Step 6: Final answer
    x = 2,896,116.97

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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.