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Finding the Third Proportional to 778,228 and 1,201,866

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Solution

The third proportional to 778,228 and 1,201,866 is: 1,856,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,228 : 1,201,866 = 1,201,866 : x
  2. Step 2: Convert to fraction form
    778,228/1,201,866 = 1,201,866/x
  3. Step 3: Cross multiply
    778,228x = 1,201,866 × 1,201,866
  4. Step 4: Simplify right side
    778,228x = 1,444,481,881,956
  5. Step 5: Solve for x
    x = 1,444,481,881,956/778,228
  6. Step 6: Final answer
    x = 1,856,116.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.