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Finding the Third Proportional to 468,624 and 999,408

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Solution

The third proportional to 468,624 and 999,408 is: 2,131,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,624 : 999,408 = 999,408 : x
  2. Step 2: Convert to fraction form
    468,624/999,408 = 999,408/x
  3. Step 3: Cross multiply
    468,624x = 999,408 × 999,408
  4. Step 4: Simplify right side
    468,624x = 998,816,350,464
  5. Step 5: Solve for x
    x = 998,816,350,464/468,624
  6. Step 6: Final answer
    x = 2,131,381.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.