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Finding the Third Proportional to 644,587 and 1,366,012

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Solution

The third proportional to 644,587 and 1,366,012 is: 2,894,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,587 : 1,366,012 = 1,366,012 : x
  2. Step 2: Convert to fraction form
    644,587/1,366,012 = 1,366,012/x
  3. Step 3: Cross multiply
    644,587x = 1,366,012 × 1,366,012
  4. Step 4: Simplify right side
    644,587x = 1,865,988,784,144
  5. Step 5: Solve for x
    x = 1,865,988,784,144/644,587
  6. Step 6: Final answer
    x = 2,894,859.47

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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.