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Finding the Third Proportional to 515,118 and 787,991

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Solution

The third proportional to 515,118 and 787,991 is: 1,205,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,118 : 787,991 = 787,991 : x
  2. Step 2: Convert to fraction form
    515,118/787,991 = 787,991/x
  3. Step 3: Cross multiply
    515,118x = 787,991 × 787,991
  4. Step 4: Simplify right side
    515,118x = 620,929,816,081
  5. Step 5: Solve for x
    x = 620,929,816,081/515,118
  6. Step 6: Final answer
    x = 1,205,412.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.