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Finding the Third Proportional to 629,157 and 1,000,743

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Solution

The third proportional to 629,157 and 1,000,743 is: 1,591,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,157 : 1,000,743 = 1,000,743 : x
  2. Step 2: Convert to fraction form
    629,157/1,000,743 = 1,000,743/x
  3. Step 3: Cross multiply
    629,157x = 1,000,743 × 1,000,743
  4. Step 4: Simplify right side
    629,157x = 1,001,486,552,049
  5. Step 5: Solve for x
    x = 1,001,486,552,049/629,157
  6. Step 6: Final answer
    x = 1,591,791.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.