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Finding the Third Proportional to 787,646 and 1,181,226

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Solution

The third proportional to 787,646 and 1,181,226 is: 1,771,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,646 : 1,181,226 = 1,181,226 : x
  2. Step 2: Convert to fraction form
    787,646/1,181,226 = 1,181,226/x
  3. Step 3: Cross multiply
    787,646x = 1,181,226 × 1,181,226
  4. Step 4: Simplify right side
    787,646x = 1,395,294,863,076
  5. Step 5: Solve for x
    x = 1,395,294,863,076/787,646
  6. Step 6: Final answer
    x = 1,771,474.57

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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.