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Finding the Third Proportional to 825,786 and 1,750,806

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Solution

The third proportional to 825,786 and 1,750,806 is: 3,712,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,786 : 1,750,806 = 1,750,806 : x
  2. Step 2: Convert to fraction form
    825,786/1,750,806 = 1,750,806/x
  3. Step 3: Cross multiply
    825,786x = 1,750,806 × 1,750,806
  4. Step 4: Simplify right side
    825,786x = 3,065,321,649,636
  5. Step 5: Solve for x
    x = 3,065,321,649,636/825,786
  6. Step 6: Final answer
    x = 3,712,004.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.