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Finding the Third Proportional to 762,048 and 1,629,180

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Solution

The third proportional to 762,048 and 1,629,180 is: 3,483,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,048 : 1,629,180 = 1,629,180 : x
  2. Step 2: Convert to fraction form
    762,048/1,629,180 = 1,629,180/x
  3. Step 3: Cross multiply
    762,048x = 1,629,180 × 1,629,180
  4. Step 4: Simplify right side
    762,048x = 2,654,227,472,400
  5. Step 5: Solve for x
    x = 2,654,227,472,400/762,048
  6. Step 6: Final answer
    x = 3,483,018.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.