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Finding the Third Proportional to 762,261 and 1,505,244

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Solution

The third proportional to 762,261 and 1,505,244 is: 2,972,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,261 : 1,505,244 = 1,505,244 : x
  2. Step 2: Convert to fraction form
    762,261/1,505,244 = 1,505,244/x
  3. Step 3: Cross multiply
    762,261x = 1,505,244 × 1,505,244
  4. Step 4: Simplify right side
    762,261x = 2,265,759,499,536
  5. Step 5: Solve for x
    x = 2,265,759,499,536/762,261
  6. Step 6: Final answer
    x = 2,972,419.55

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.