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Finding the Third Proportional to 827,168 and 1,247,664

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Solution

The third proportional to 827,168 and 1,247,664 is: 1,881,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,168 : 1,247,664 = 1,247,664 : x
  2. Step 2: Convert to fraction form
    827,168/1,247,664 = 1,247,664/x
  3. Step 3: Cross multiply
    827,168x = 1,247,664 × 1,247,664
  4. Step 4: Simplify right side
    827,168x = 1,556,665,456,896
  5. Step 5: Solve for x
    x = 1,556,665,456,896/827,168
  6. Step 6: Final answer
    x = 1,881,921.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.