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Finding the Third Proportional to 609,494 and 943,218

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Solution

The third proportional to 609,494 and 943,218 is: 1,459,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,494 : 943,218 = 943,218 : x
  2. Step 2: Convert to fraction form
    609,494/943,218 = 943,218/x
  3. Step 3: Cross multiply
    609,494x = 943,218 × 943,218
  4. Step 4: Simplify right side
    609,494x = 889,660,195,524
  5. Step 5: Solve for x
    x = 889,660,195,524/609,494
  6. Step 6: Final answer
    x = 1,459,670.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.