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Finding the Third Proportional to 1,419,768 and 3,080,349

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Solution

The third proportional to 1,419,768 and 3,080,349 is: 6,683,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,768 : 3,080,349 = 3,080,349 : x
  2. Step 2: Convert to fraction form
    1,419,768/3,080,349 = 3,080,349/x
  3. Step 3: Cross multiply
    1,419,768x = 3,080,349 × 3,080,349
  4. Step 4: Simplify right side
    1,419,768x = 9,488,549,961,801
  5. Step 5: Solve for x
    x = 9,488,549,961,801/1,419,768
  6. Step 6: Final answer
    x = 6,683,169.34

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