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Finding the Third Proportional to 787,540 and 1,181,053

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Solution

The third proportional to 787,540 and 1,181,053 is: 1,771,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,540 : 1,181,053 = 1,181,053 : x
  2. Step 2: Convert to fraction form
    787,540/1,181,053 = 1,181,053/x
  3. Step 3: Cross multiply
    787,540x = 1,181,053 × 1,181,053
  4. Step 4: Simplify right side
    787,540x = 1,394,886,188,809
  5. Step 5: Solve for x
    x = 1,394,886,188,809/787,540
  6. Step 6: Final answer
    x = 1,771,194.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.