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Finding the Third Proportional to 1,577,828 and 3,407,980

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Solution

The third proportional to 1,577,828 and 3,407,980 is: 7,360,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,828 : 3,407,980 = 3,407,980 : x
  2. Step 2: Convert to fraction form
    1,577,828/3,407,980 = 3,407,980/x
  3. Step 3: Cross multiply
    1,577,828x = 3,407,980 × 3,407,980
  4. Step 4: Simplify right side
    1,577,828x = 11,614,327,680,400
  5. Step 5: Solve for x
    x = 11,614,327,680,400/1,577,828
  6. Step 6: Final answer
    x = 7,360,959.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.