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Finding the Third Proportional to 787,846 and 1,181,480

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Solution

The third proportional to 787,846 and 1,181,480 is: 1,771,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,846 : 1,181,480 = 1,181,480 : x
  2. Step 2: Convert to fraction form
    787,846/1,181,480 = 1,181,480/x
  3. Step 3: Cross multiply
    787,846x = 1,181,480 × 1,181,480
  4. Step 4: Simplify right side
    787,846x = 1,395,894,990,400
  5. Step 5: Solve for x
    x = 1,395,894,990,400/787,846
  6. Step 6: Final answer
    x = 1,771,786.61

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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.