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Finding the Third Proportional to 679,986 and 1,476,396

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Solution

The third proportional to 679,986 and 1,476,396 is: 3,205,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,986 : 1,476,396 = 1,476,396 : x
  2. Step 2: Convert to fraction form
    679,986/1,476,396 = 1,476,396/x
  3. Step 3: Cross multiply
    679,986x = 1,476,396 × 1,476,396
  4. Step 4: Simplify right side
    679,986x = 2,179,745,148,816
  5. Step 5: Solve for x
    x = 2,179,745,148,816/679,986
  6. Step 6: Final answer
    x = 3,205,573.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.