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Finding the Third Proportional to 668,868 and 1,428,456

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Solution

The third proportional to 668,868 and 1,428,456 is: 3,050,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,868 : 1,428,456 = 1,428,456 : x
  2. Step 2: Convert to fraction form
    668,868/1,428,456 = 1,428,456/x
  3. Step 3: Cross multiply
    668,868x = 1,428,456 × 1,428,456
  4. Step 4: Simplify right side
    668,868x = 2,040,486,543,936
  5. Step 5: Solve for x
    x = 2,040,486,543,936/668,868
  6. Step 6: Final answer
    x = 3,050,656.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.