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Finding the Third Proportional to 633,723 and 1,366,983

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Solution

The third proportional to 633,723 and 1,366,983 is: 2,948,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,723 : 1,366,983 = 1,366,983 : x
  2. Step 2: Convert to fraction form
    633,723/1,366,983 = 1,366,983/x
  3. Step 3: Cross multiply
    633,723x = 1,366,983 × 1,366,983
  4. Step 4: Simplify right side
    633,723x = 1,868,642,522,289
  5. Step 5: Solve for x
    x = 1,868,642,522,289/633,723
  6. Step 6: Final answer
    x = 2,948,673.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.