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Finding the Third Proportional to 831,572 and 1,761,298

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Solution

The third proportional to 831,572 and 1,761,298 is: 3,730,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,572 : 1,761,298 = 1,761,298 : x
  2. Step 2: Convert to fraction form
    831,572/1,761,298 = 1,761,298/x
  3. Step 3: Cross multiply
    831,572x = 1,761,298 × 1,761,298
  4. Step 4: Simplify right side
    831,572x = 3,102,170,644,804
  5. Step 5: Solve for x
    x = 3,102,170,644,804/831,572
  6. Step 6: Final answer
    x = 3,730,489.54

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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.