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Finding the Third Proportional to 831,852 and 1,703,121

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Solution

The third proportional to 831,852 and 1,703,121 is: 3,486,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,852 : 1,703,121 = 1,703,121 : x
  2. Step 2: Convert to fraction form
    831,852/1,703,121 = 1,703,121/x
  3. Step 3: Cross multiply
    831,852x = 1,703,121 × 1,703,121
  4. Step 4: Simplify right side
    831,852x = 2,900,621,140,641
  5. Step 5: Solve for x
    x = 2,900,621,140,641/831,852
  6. Step 6: Final answer
    x = 3,486,943.76

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Why These Related Problems?

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