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Finding the Third Proportional to 644,586 and 1,366,010

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Solution

The third proportional to 644,586 and 1,366,010 is: 2,894,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,586 : 1,366,010 = 1,366,010 : x
  2. Step 2: Convert to fraction form
    644,586/1,366,010 = 1,366,010/x
  3. Step 3: Cross multiply
    644,586x = 1,366,010 × 1,366,010
  4. Step 4: Simplify right side
    644,586x = 1,865,983,320,100
  5. Step 5: Solve for x
    x = 1,865,983,320,100/644,586
  6. Step 6: Final answer
    x = 2,894,855.49

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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.