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Finding the Third Proportional to 831,568 and 1,761,290

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Solution

The third proportional to 831,568 and 1,761,290 is: 3,730,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,568 : 1,761,290 = 1,761,290 : x
  2. Step 2: Convert to fraction form
    831,568/1,761,290 = 1,761,290/x
  3. Step 3: Cross multiply
    831,568x = 1,761,290 × 1,761,290
  4. Step 4: Simplify right side
    831,568x = 3,102,142,464,100
  5. Step 5: Solve for x
    x = 3,102,142,464,100/831,568
  6. Step 6: Final answer
    x = 3,730,473.59

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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.