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Finding the Third Proportional to 644,593 and 1,366,025

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Solution

The third proportional to 644,593 and 1,366,025 is: 2,894,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,593 : 1,366,025 = 1,366,025 : x
  2. Step 2: Convert to fraction form
    644,593/1,366,025 = 1,366,025/x
  3. Step 3: Cross multiply
    644,593x = 1,366,025 × 1,366,025
  4. Step 4: Simplify right side
    644,593x = 1,866,024,300,625
  5. Step 5: Solve for x
    x = 1,866,024,300,625/644,593
  6. Step 6: Final answer
    x = 2,894,887.63

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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.