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Finding the Third Proportional to 831,566 and 1,761,286

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Solution

The third proportional to 831,566 and 1,761,286 is: 3,730,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,566 : 1,761,286 = 1,761,286 : x
  2. Step 2: Convert to fraction form
    831,566/1,761,286 = 1,761,286/x
  3. Step 3: Cross multiply
    831,566x = 1,761,286 × 1,761,286
  4. Step 4: Simplify right side
    831,566x = 3,102,128,373,796
  5. Step 5: Solve for x
    x = 3,102,128,373,796/831,566
  6. Step 6: Final answer
    x = 3,730,465.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.