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Finding the Third Proportional to 1,813,968 and 2,831,232

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Solution

The third proportional to 1,813,968 and 2,831,232 is: 4,418,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813,968 : 2,831,232 = 2,831,232 : x
  2. Step 2: Convert to fraction form
    1,813,968/2,831,232 = 2,831,232/x
  3. Step 3: Cross multiply
    1,813,968x = 2,831,232 × 2,831,232
  4. Step 4: Simplify right side
    1,813,968x = 8,015,874,637,824
  5. Step 5: Solve for x
    x = 8,015,874,637,824/1,813,968
  6. Step 6: Final answer
    x = 4,418,972.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.