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Finding the Third Proportional to 681,562 and 1,031,895

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Solution

The third proportional to 681,562 and 1,031,895 is: 1,562,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,562 : 1,031,895 = 1,031,895 : x
  2. Step 2: Convert to fraction form
    681,562/1,031,895 = 1,031,895/x
  3. Step 3: Cross multiply
    681,562x = 1,031,895 × 1,031,895
  4. Step 4: Simplify right side
    681,562x = 1,064,807,291,025
  5. Step 5: Solve for x
    x = 1,064,807,291,025/681,562
  6. Step 6: Final answer
    x = 1,562,304.37

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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.