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Finding the Third Proportional to 681,568 and 1,031,904

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Solution

The third proportional to 681,568 and 1,031,904 is: 1,562,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,568 : 1,031,904 = 1,031,904 : x
  2. Step 2: Convert to fraction form
    681,568/1,031,904 = 1,031,904/x
  3. Step 3: Cross multiply
    681,568x = 1,031,904 × 1,031,904
  4. Step 4: Simplify right side
    681,568x = 1,064,825,865,216
  5. Step 5: Solve for x
    x = 1,064,825,865,216/681,568
  6. Step 6: Final answer
    x = 1,562,317.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.