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Finding the Third Proportional to 778,230 and 1,201,869

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Solution

The third proportional to 778,230 and 1,201,869 is: 1,856,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,230 : 1,201,869 = 1,201,869 : x
  2. Step 2: Convert to fraction form
    778,230/1,201,869 = 1,201,869/x
  3. Step 3: Cross multiply
    778,230x = 1,201,869 × 1,201,869
  4. Step 4: Simplify right side
    778,230x = 1,444,489,093,161
  5. Step 5: Solve for x
    x = 1,444,489,093,161/778,230
  6. Step 6: Final answer
    x = 1,856,121.06

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Why These Related Problems?

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