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Finding the Third Proportional to 838,966 and 1,817,900

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Solution

The third proportional to 838,966 and 1,817,900 is: 3,939,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,966 : 1,817,900 = 1,817,900 : x
  2. Step 2: Convert to fraction form
    838,966/1,817,900 = 1,817,900/x
  3. Step 3: Cross multiply
    838,966x = 1,817,900 × 1,817,900
  4. Step 4: Simplify right side
    838,966x = 3,304,760,410,000
  5. Step 5: Solve for x
    x = 3,304,760,410,000/838,966
  6. Step 6: Final answer
    x = 3,939,087.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.