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Finding the Third Proportional to 691,204 and 1,036,806

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Solution

The third proportional to 691,204 and 1,036,806 is: 1,555,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,204 : 1,036,806 = 1,036,806 : x
  2. Step 2: Convert to fraction form
    691,204/1,036,806 = 1,036,806/x
  3. Step 3: Cross multiply
    691,204x = 1,036,806 × 1,036,806
  4. Step 4: Simplify right side
    691,204x = 1,074,966,681,636
  5. Step 5: Solve for x
    x = 1,074,966,681,636/691,204
  6. Step 6: Final answer
    x = 1,555,209

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.