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Finding the Third Proportional to 778,206 and 1,428,540

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Solution

The third proportional to 778,206 and 1,428,540 is: 2,622,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,206 : 1,428,540 = 1,428,540 : x
  2. Step 2: Convert to fraction form
    778,206/1,428,540 = 1,428,540/x
  3. Step 3: Cross multiply
    778,206x = 1,428,540 × 1,428,540
  4. Step 4: Simplify right side
    778,206x = 2,040,726,531,600
  5. Step 5: Solve for x
    x = 2,040,726,531,600/778,206
  6. Step 6: Final answer
    x = 2,622,347.47

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.