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Finding the Third Proportional to 825,741 and 1,276,188

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Solution

The third proportional to 825,741 and 1,276,188 is: 1,972,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,741 : 1,276,188 = 1,276,188 : x
  2. Step 2: Convert to fraction form
    825,741/1,276,188 = 1,276,188/x
  3. Step 3: Cross multiply
    825,741x = 1,276,188 × 1,276,188
  4. Step 4: Simplify right side
    825,741x = 1,628,655,811,344
  5. Step 5: Solve for x
    x = 1,628,655,811,344/825,741
  6. Step 6: Final answer
    x = 1,972,356.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.