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Finding the Third Proportional to 1,831,385.50 and 2,694,116

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Solution

The third proportional to 1,831,385.50 and 2,694,116 is: 3,963,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,385.50 : 2,694,116 = 2,694,116 : x
  2. Step 2: Convert to fraction form
    1,831,385.50/2,694,116 = 2,694,116/x
  3. Step 3: Cross multiply
    1,831,385.50x = 2,694,116 × 2,694,116
  4. Step 4: Simplify right side
    1,831,385.50x = 7,258,261,021,456
  5. Step 5: Solve for x
    x = 7,258,261,021,456/1,831,385.50
  6. Step 6: Final answer
    x = 3,963,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.