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Finding the Third Proportional to 663,413 and 994,078

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Solution

The third proportional to 663,413 and 994,078 is: 1,489,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,413 : 994,078 = 994,078 : x
  2. Step 2: Convert to fraction form
    663,413/994,078 = 994,078/x
  3. Step 3: Cross multiply
    663,413x = 994,078 × 994,078
  4. Step 4: Simplify right side
    663,413x = 988,191,070,084
  5. Step 5: Solve for x
    x = 988,191,070,084/663,413
  6. Step 6: Final answer
    x = 1,489,556.39

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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.