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Finding the Third Proportional to 743,266 and 1,121,866

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Solution

The third proportional to 743,266 and 1,121,866 is: 1,693,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,266 : 1,121,866 = 1,121,866 : x
  2. Step 2: Convert to fraction form
    743,266/1,121,866 = 1,121,866/x
  3. Step 3: Cross multiply
    743,266x = 1,121,866 × 1,121,866
  4. Step 4: Simplify right side
    743,266x = 1,258,583,321,956
  5. Step 5: Solve for x
    x = 1,258,583,321,956/743,266
  6. Step 6: Final answer
    x = 1,693,314.81

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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.