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Finding the Third Proportional to 780,900 and 1,181,184

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Solution

The third proportional to 780,900 and 1,181,184 is: 1,786,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,900 : 1,181,184 = 1,181,184 : x
  2. Step 2: Convert to fraction form
    780,900/1,181,184 = 1,181,184/x
  3. Step 3: Cross multiply
    780,900x = 1,181,184 × 1,181,184
  4. Step 4: Simplify right side
    780,900x = 1,395,195,641,856
  5. Step 5: Solve for x
    x = 1,395,195,641,856/780,900
  6. Step 6: Final answer
    x = 1,786,650.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.