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Finding the Third Proportional to 633,744 and 989,496

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Solution

The third proportional to 633,744 and 989,496 is: 1,544,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,744 : 989,496 = 989,496 : x
  2. Step 2: Convert to fraction form
    633,744/989,496 = 989,496/x
  3. Step 3: Cross multiply
    633,744x = 989,496 × 989,496
  4. Step 4: Simplify right side
    633,744x = 979,102,334,016
  5. Step 5: Solve for x
    x = 979,102,334,016/633,744
  6. Step 6: Final answer
    x = 1,544,949.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.