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Finding the Third Proportional to 681,554 and 1,031,883

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Solution

The third proportional to 681,554 and 1,031,883 is: 1,562,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,554 : 1,031,883 = 1,031,883 : x
  2. Step 2: Convert to fraction form
    681,554/1,031,883 = 1,031,883/x
  3. Step 3: Cross multiply
    681,554x = 1,031,883 × 1,031,883
  4. Step 4: Simplify right side
    681,554x = 1,064,782,525,689
  5. Step 5: Solve for x
    x = 1,064,782,525,689/681,554
  6. Step 6: Final answer
    x = 1,562,286.37

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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.