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Finding the Third Proportional to 787,134 and 1,181,277

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Solution

The third proportional to 787,134 and 1,181,277 is: 1,772,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,134 : 1,181,277 = 1,181,277 : x
  2. Step 2: Convert to fraction form
    787,134/1,181,277 = 1,181,277/x
  3. Step 3: Cross multiply
    787,134x = 1,181,277 × 1,181,277
  4. Step 4: Simplify right side
    787,134x = 1,395,415,350,729
  5. Step 5: Solve for x
    x = 1,395,415,350,729/787,134
  6. Step 6: Final answer
    x = 1,772,779.92

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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.