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Finding the Third Proportional to 787,539 and 1,181,052

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Solution

The third proportional to 787,539 and 1,181,052 is: 1,771,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,539 : 1,181,052 = 1,181,052 : x
  2. Step 2: Convert to fraction form
    787,539/1,181,052 = 1,181,052/x
  3. Step 3: Cross multiply
    787,539x = 1,181,052 × 1,181,052
  4. Step 4: Simplify right side
    787,539x = 1,394,883,826,704
  5. Step 5: Solve for x
    x = 1,394,883,826,704/787,539
  6. Step 6: Final answer
    x = 1,771,193.33

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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.