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Finding the Third Proportional to 762,548 and 1,505,956

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Solution

The third proportional to 762,548 and 1,505,956 is: 2,974,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,548 : 1,505,956 = 1,505,956 : x
  2. Step 2: Convert to fraction form
    762,548/1,505,956 = 1,505,956/x
  3. Step 3: Cross multiply
    762,548x = 1,505,956 × 1,505,956
  4. Step 4: Simplify right side
    762,548x = 2,267,903,473,936
  5. Step 5: Solve for x
    x = 2,267,903,473,936/762,548
  6. Step 6: Final answer
    x = 2,974,112.42

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Why These Related Problems?

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