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Finding the Third Proportional to 831,560 and 1,761,272

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Solution

The third proportional to 831,560 and 1,761,272 is: 3,730,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,560 : 1,761,272 = 1,761,272 : x
  2. Step 2: Convert to fraction form
    831,560/1,761,272 = 1,761,272/x
  3. Step 3: Cross multiply
    831,560x = 1,761,272 × 1,761,272
  4. Step 4: Simplify right side
    831,560x = 3,102,079,057,984
  5. Step 5: Solve for x
    x = 3,102,079,057,984/831,560
  6. Step 6: Final answer
    x = 3,730,433.23

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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.