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Finding the Third Proportional to 1,261,175 and 2,767,619

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Solution

The third proportional to 1,261,175 and 2,767,619 is: 6,073,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,175 : 2,767,619 = 2,767,619 : x
  2. Step 2: Convert to fraction form
    1,261,175/2,767,619 = 2,767,619/x
  3. Step 3: Cross multiply
    1,261,175x = 2,767,619 × 2,767,619
  4. Step 4: Simplify right side
    1,261,175x = 7,659,714,929,161
  5. Step 5: Solve for x
    x = 7,659,714,929,161/1,261,175
  6. Step 6: Final answer
    x = 6,073,475.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.