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Finding the Third Proportional to 825,928 and 1,211,596

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Solution

The third proportional to 825,928 and 1,211,596 is: 1,777,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,928 : 1,211,596 = 1,211,596 : x
  2. Step 2: Convert to fraction form
    825,928/1,211,596 = 1,211,596/x
  3. Step 3: Cross multiply
    825,928x = 1,211,596 × 1,211,596
  4. Step 4: Simplify right side
    825,928x = 1,467,964,867,216
  5. Step 5: Solve for x
    x = 1,467,964,867,216/825,928
  6. Step 6: Final answer
    x = 1,777,352.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.