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Finding the Third Proportional to 515,120 and 787,994

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Solution

The third proportional to 515,120 and 787,994 is: 1,205,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,120 : 787,994 = 787,994 : x
  2. Step 2: Convert to fraction form
    515,120/787,994 = 787,994/x
  3. Step 3: Cross multiply
    515,120x = 787,994 × 787,994
  4. Step 4: Simplify right side
    515,120x = 620,934,544,036
  5. Step 5: Solve for x
    x = 620,934,544,036/515,120
  6. Step 6: Final answer
    x = 1,205,417.27

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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.