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Finding the Third Proportional to 679,814 and 1,466,062

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Solution

The third proportional to 679,814 and 1,466,062 is: 3,161,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,814 : 1,466,062 = 1,466,062 : x
  2. Step 2: Convert to fraction form
    679,814/1,466,062 = 1,466,062/x
  3. Step 3: Cross multiply
    679,814x = 1,466,062 × 1,466,062
  4. Step 4: Simplify right side
    679,814x = 2,149,337,787,844
  5. Step 5: Solve for x
    x = 2,149,337,787,844/679,814
  6. Step 6: Final answer
    x = 3,161,655.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.