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Finding the Third Proportional to 831,877 and 1,703,180

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Solution

The third proportional to 831,877 and 1,703,180 is: 3,487,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,877 : 1,703,180 = 1,703,180 : x
  2. Step 2: Convert to fraction form
    831,877/1,703,180 = 1,703,180/x
  3. Step 3: Cross multiply
    831,877x = 1,703,180 × 1,703,180
  4. Step 4: Simplify right side
    831,877x = 2,900,822,112,400
  5. Step 5: Solve for x
    x = 2,900,822,112,400/831,877
  6. Step 6: Final answer
    x = 3,487,080.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.