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Finding the Third Proportional to 831,871.50 and 1,703,169.75

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Solution

The third proportional to 831,871.50 and 1,703,169.75 is: 3,487,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,871.50 : 1,703,169.75 = 1,703,169.75 : x
  2. Step 2: Convert to fraction form
    831,871.50/1,703,169.75 = 1,703,169.75/x
  3. Step 3: Cross multiply
    831,871.50x = 1,703,169.75 × 1,703,169.75
  4. Step 4: Simplify right side
    831,871.50x = 2,900,787,197,315.06
  5. Step 5: Solve for x
    x = 2,900,787,197,315.06/831,871.50
  6. Step 6: Final answer
    x = 3,487,061.64

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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.