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Finding the Third Proportional to 1,253,862 and 2,959,407

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Solution

The third proportional to 1,253,862 and 2,959,407 is: 6,984,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,862 : 2,959,407 = 2,959,407 : x
  2. Step 2: Convert to fraction form
    1,253,862/2,959,407 = 2,959,407/x
  3. Step 3: Cross multiply
    1,253,862x = 2,959,407 × 2,959,407
  4. Step 4: Simplify right side
    1,253,862x = 8,758,089,791,649
  5. Step 5: Solve for x
    x = 8,758,089,791,649/1,253,862
  6. Step 6: Final answer
    x = 6,984,891.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.