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Finding the Third Proportional to 663,419 and 994,073

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Solution

The third proportional to 663,419 and 994,073 is: 1,489,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,419 : 994,073 = 994,073 : x
  2. Step 2: Convert to fraction form
    663,419/994,073 = 994,073/x
  3. Step 3: Cross multiply
    663,419x = 994,073 × 994,073
  4. Step 4: Simplify right side
    663,419x = 988,181,129,329
  5. Step 5: Solve for x
    x = 988,181,129,329/663,419
  6. Step 6: Final answer
    x = 1,489,527.93

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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.