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Finding the Third Proportional to 838,828 and 1,825,112

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Solution

The third proportional to 838,828 and 1,825,112 is: 3,971,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,828 : 1,825,112 = 1,825,112 : x
  2. Step 2: Convert to fraction form
    838,828/1,825,112 = 1,825,112/x
  3. Step 3: Cross multiply
    838,828x = 1,825,112 × 1,825,112
  4. Step 4: Simplify right side
    838,828x = 3,331,033,812,544
  5. Step 5: Solve for x
    x = 3,331,033,812,544/838,828
  6. Step 6: Final answer
    x = 3,971,057.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.