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Finding the Third Proportional to 1,593,880 and 3,439,649

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Solution

The third proportional to 1,593,880 and 3,439,649 is: 7,422,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593,880 : 3,439,649 = 3,439,649 : x
  2. Step 2: Convert to fraction form
    1,593,880/3,439,649 = 3,439,649/x
  3. Step 3: Cross multiply
    1,593,880x = 3,439,649 × 3,439,649
  4. Step 4: Simplify right side
    1,593,880x = 11,831,185,243,201
  5. Step 5: Solve for x
    x = 11,831,185,243,201/1,593,880
  6. Step 6: Final answer
    x = 7,422,883.31

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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.