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Finding the Third Proportional to 1,427,362 and 3,138,619

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Solution

The third proportional to 1,427,362 and 3,138,619 is: 6,901,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,362 : 3,138,619 = 3,138,619 : x
  2. Step 2: Convert to fraction form
    1,427,362/3,138,619 = 3,138,619/x
  3. Step 3: Cross multiply
    1,427,362x = 3,138,619 × 3,138,619
  4. Step 4: Simplify right side
    1,427,362x = 9,850,929,227,161
  5. Step 5: Solve for x
    x = 9,850,929,227,161/1,427,362
  6. Step 6: Final answer
    x = 6,901,493.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.