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Finding the Third Proportional to 1,419,765 and 3,080,343

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Solution

The third proportional to 1,419,765 and 3,080,343 is: 6,683,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,765 : 3,080,343 = 3,080,343 : x
  2. Step 2: Convert to fraction form
    1,419,765/3,080,343 = 3,080,343/x
  3. Step 3: Cross multiply
    1,419,765x = 3,080,343 × 3,080,343
  4. Step 4: Simplify right side
    1,419,765x = 9,488,512,997,649
  5. Step 5: Solve for x
    x = 9,488,512,997,649/1,419,765
  6. Step 6: Final answer
    x = 6,683,157.42

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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.