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Finding the Third Proportional to 1,469,697 and 3,149,346

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Solution

The third proportional to 1,469,697 and 3,149,346 is: 6,748,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,697 : 3,149,346 = 3,149,346 : x
  2. Step 2: Convert to fraction form
    1,469,697/3,149,346 = 3,149,346/x
  3. Step 3: Cross multiply
    1,469,697x = 3,149,346 × 3,149,346
  4. Step 4: Simplify right side
    1,469,697x = 9,918,380,227,716
  5. Step 5: Solve for x
    x = 9,918,380,227,716/1,469,697
  6. Step 6: Final answer
    x = 6,748,588.47

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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.