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Finding the Third Proportional to 787,518 and 1,181,025

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Solution

The third proportional to 787,518 and 1,181,025 is: 1,771,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,518 : 1,181,025 = 1,181,025 : x
  2. Step 2: Convert to fraction form
    787,518/1,181,025 = 1,181,025/x
  3. Step 3: Cross multiply
    787,518x = 1,181,025 × 1,181,025
  4. Step 4: Simplify right side
    787,518x = 1,394,820,050,625
  5. Step 5: Solve for x
    x = 1,394,820,050,625/787,518
  6. Step 6: Final answer
    x = 1,771,159.58

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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.