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Finding the Third Proportional to 681,266 and 1,433,110

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Solution

The third proportional to 681,266 and 1,433,110 is: 3,014,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,266 : 1,433,110 = 1,433,110 : x
  2. Step 2: Convert to fraction form
    681,266/1,433,110 = 1,433,110/x
  3. Step 3: Cross multiply
    681,266x = 1,433,110 × 1,433,110
  4. Step 4: Simplify right side
    681,266x = 2,053,804,272,100
  5. Step 5: Solve for x
    x = 2,053,804,272,100/681,266
  6. Step 6: Final answer
    x = 3,014,687.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.