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Finding the Third Proportional to 644,463 and 966,249

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Solution

The third proportional to 644,463 and 966,249 is: 1,448,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,463 : 966,249 = 966,249 : x
  2. Step 2: Convert to fraction form
    644,463/966,249 = 966,249/x
  3. Step 3: Cross multiply
    644,463x = 966,249 × 966,249
  4. Step 4: Simplify right side
    644,463x = 933,637,130,001
  5. Step 5: Solve for x
    x = 933,637,130,001/644,463
  6. Step 6: Final answer
    x = 1,448,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.