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Finding the Third Proportional to 687,137 and 1,027,546

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Solution

The third proportional to 687,137 and 1,027,546 is: 1,536,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,137 : 1,027,546 = 1,027,546 : x
  2. Step 2: Convert to fraction form
    687,137/1,027,546 = 1,027,546/x
  3. Step 3: Cross multiply
    687,137x = 1,027,546 × 1,027,546
  4. Step 4: Simplify right side
    687,137x = 1,055,850,782,116
  5. Step 5: Solve for x
    x = 1,055,850,782,116/687,137
  6. Step 6: Final answer
    x = 1,536,594.28

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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.