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Finding the Third Proportional to 854,390 and 1,819,210

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Solution

The third proportional to 854,390 and 1,819,210 is: 3,873,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,390 : 1,819,210 = 1,819,210 : x
  2. Step 2: Convert to fraction form
    854,390/1,819,210 = 1,819,210/x
  3. Step 3: Cross multiply
    854,390x = 1,819,210 × 1,819,210
  4. Step 4: Simplify right side
    854,390x = 3,309,525,024,100
  5. Step 5: Solve for x
    x = 3,309,525,024,100/854,390
  6. Step 6: Final answer
    x = 3,873,553.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.