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Finding the Third Proportional to 687,180 and 1,027,596

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Solution

The third proportional to 687,180 and 1,027,596 is: 1,536,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,180 : 1,027,596 = 1,027,596 : x
  2. Step 2: Convert to fraction form
    687,180/1,027,596 = 1,027,596/x
  3. Step 3: Cross multiply
    687,180x = 1,027,596 × 1,027,596
  4. Step 4: Simplify right side
    687,180x = 1,055,953,539,216
  5. Step 5: Solve for x
    x = 1,055,953,539,216/687,180
  6. Step 6: Final answer
    x = 1,536,647.66

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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.