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Finding the Third Proportional to 791,113 and 1,171,873

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Solution

The third proportional to 791,113 and 1,171,873 is: 1,735,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,113 : 1,171,873 = 1,171,873 : x
  2. Step 2: Convert to fraction form
    791,113/1,171,873 = 1,171,873/x
  3. Step 3: Cross multiply
    791,113x = 1,171,873 × 1,171,873
  4. Step 4: Simplify right side
    791,113x = 1,373,286,328,129
  5. Step 5: Solve for x
    x = 1,373,286,328,129/791,113
  6. Step 6: Final answer
    x = 1,735,891.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.