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Finding the Third Proportional to 825,750 and 1,206,763

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Solution

The third proportional to 825,750 and 1,206,763 is: 1,763,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,750 : 1,206,763 = 1,206,763 : x
  2. Step 2: Convert to fraction form
    825,750/1,206,763 = 1,206,763/x
  3. Step 3: Cross multiply
    825,750x = 1,206,763 × 1,206,763
  4. Step 4: Simplify right side
    825,750x = 1,456,276,938,169
  5. Step 5: Solve for x
    x = 1,456,276,938,169/825,750
  6. Step 6: Final answer
    x = 1,763,580.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.