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Finding the Third Proportional to 1,419,767 and 3,080,347

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Solution

The third proportional to 1,419,767 and 3,080,347 is: 6,683,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,767 : 3,080,347 = 3,080,347 : x
  2. Step 2: Convert to fraction form
    1,419,767/3,080,347 = 3,080,347/x
  3. Step 3: Cross multiply
    1,419,767x = 3,080,347 × 3,080,347
  4. Step 4: Simplify right side
    1,419,767x = 9,488,537,640,409
  5. Step 5: Solve for x
    x = 9,488,537,640,409/1,419,767
  6. Step 6: Final answer
    x = 6,683,165.36

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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.