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Finding the Third Proportional to 1,202,112 and 2,538,360

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Solution

The third proportional to 1,202,112 and 2,538,360 is: 5,359,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,112 : 2,538,360 = 2,538,360 : x
  2. Step 2: Convert to fraction form
    1,202,112/2,538,360 = 2,538,360/x
  3. Step 3: Cross multiply
    1,202,112x = 2,538,360 × 2,538,360
  4. Step 4: Simplify right side
    1,202,112x = 6,443,271,489,600
  5. Step 5: Solve for x
    x = 6,443,271,489,600/1,202,112
  6. Step 6: Final answer
    x = 5,359,959.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.