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Finding the Third Proportional to 831,285 and 1,786,890

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Solution

The third proportional to 831,285 and 1,786,890 is: 3,841,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,285 : 1,786,890 = 1,786,890 : x
  2. Step 2: Convert to fraction form
    831,285/1,786,890 = 1,786,890/x
  3. Step 3: Cross multiply
    831,285x = 1,786,890 × 1,786,890
  4. Step 4: Simplify right side
    831,285x = 3,192,975,872,100
  5. Step 5: Solve for x
    x = 3,192,975,872,100/831,285
  6. Step 6: Final answer
    x = 3,841,012.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.