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Finding the Third Proportional to 845,966 and 1,831,324

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Solution

The third proportional to 845,966 and 1,831,324 is: 3,964,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,966 : 1,831,324 = 1,831,324 : x
  2. Step 2: Convert to fraction form
    845,966/1,831,324 = 1,831,324/x
  3. Step 3: Cross multiply
    845,966x = 1,831,324 × 1,831,324
  4. Step 4: Simplify right side
    845,966x = 3,353,747,592,976
  5. Step 5: Solve for x
    x = 3,353,747,592,976/845,966
  6. Step 6: Final answer
    x = 3,964,399.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.