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Finding the Third Proportional to 692,561 and 1,040,849

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Solution

The third proportional to 692,561 and 1,040,849 is: 1,564,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,561 : 1,040,849 = 1,040,849 : x
  2. Step 2: Convert to fraction form
    692,561/1,040,849 = 1,040,849/x
  3. Step 3: Cross multiply
    692,561x = 1,040,849 × 1,040,849
  4. Step 4: Simplify right side
    692,561x = 1,083,366,640,801
  5. Step 5: Solve for x
    x = 1,083,366,640,801/692,561
  6. Step 6: Final answer
    x = 1,564,290.57

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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.