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Finding the Third Proportional to 678,986 and 1,413,738

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Solution

The third proportional to 678,986 and 1,413,738 is: 2,943,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,986 : 1,413,738 = 1,413,738 : x
  2. Step 2: Convert to fraction form
    678,986/1,413,738 = 1,413,738/x
  3. Step 3: Cross multiply
    678,986x = 1,413,738 × 1,413,738
  4. Step 4: Simplify right side
    678,986x = 1,998,655,132,644
  5. Step 5: Solve for x
    x = 1,998,655,132,644/678,986
  6. Step 6: Final answer
    x = 2,943,588.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.