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Finding the Third Proportional to 831,562 and 1,761,278

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Solution

The third proportional to 831,562 and 1,761,278 is: 3,730,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,562 : 1,761,278 = 1,761,278 : x
  2. Step 2: Convert to fraction form
    831,562/1,761,278 = 1,761,278/x
  3. Step 3: Cross multiply
    831,562x = 1,761,278 × 1,761,278
  4. Step 4: Simplify right side
    831,562x = 3,102,100,193,284
  5. Step 5: Solve for x
    x = 3,102,100,193,284/831,562
  6. Step 6: Final answer
    x = 3,730,449.68

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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.