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Finding the Third Proportional to 692,568 and 1,040,859

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Solution

The third proportional to 692,568 and 1,040,859 is: 1,564,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,568 : 1,040,859 = 1,040,859 : x
  2. Step 2: Convert to fraction form
    692,568/1,040,859 = 1,040,859/x
  3. Step 3: Cross multiply
    692,568x = 1,040,859 × 1,040,859
  4. Step 4: Simplify right side
    692,568x = 1,083,387,457,881
  5. Step 5: Solve for x
    x = 1,083,387,457,881/692,568
  6. Step 6: Final answer
    x = 1,564,304.82

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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.