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Finding the Third Proportional to 787,680 and 1,181,232

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Solution

The third proportional to 787,680 and 1,181,232 is: 1,771,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,680 : 1,181,232 = 1,181,232 : x
  2. Step 2: Convert to fraction form
    787,680/1,181,232 = 1,181,232/x
  3. Step 3: Cross multiply
    787,680x = 1,181,232 × 1,181,232
  4. Step 4: Simplify right side
    787,680x = 1,395,309,037,824
  5. Step 5: Solve for x
    x = 1,395,309,037,824/787,680
  6. Step 6: Final answer
    x = 1,771,416.11

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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.