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Finding the Third Proportional to 880,288 and 1,188,720

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Solution

The third proportional to 880,288 and 1,188,720 is: 1,605,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,288 : 1,188,720 = 1,188,720 : x
  2. Step 2: Convert to fraction form
    880,288/1,188,720 = 1,188,720/x
  3. Step 3: Cross multiply
    880,288x = 1,188,720 × 1,188,720
  4. Step 4: Simplify right side
    880,288x = 1,413,055,238,400
  5. Step 5: Solve for x
    x = 1,413,055,238,400/880,288
  6. Step 6: Final answer
    x = 1,605,219.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.