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Finding the Third Proportional to 681,566 and 1,031,901

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Solution

The third proportional to 681,566 and 1,031,901 is: 1,562,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,566 : 1,031,901 = 1,031,901 : x
  2. Step 2: Convert to fraction form
    681,566/1,031,901 = 1,031,901/x
  3. Step 3: Cross multiply
    681,566x = 1,031,901 × 1,031,901
  4. Step 4: Simplify right side
    681,566x = 1,064,819,673,801
  5. Step 5: Solve for x
    x = 1,064,819,673,801/681,566
  6. Step 6: Final answer
    x = 1,562,313.37

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