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Finding the Third Proportional to 1,831,377.75 and 3,978,024

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Solution

The third proportional to 1,831,377.75 and 3,978,024 is: 8,640,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,377.75 : 3,978,024 = 3,978,024 : x
  2. Step 2: Convert to fraction form
    1,831,377.75/3,978,024 = 3,978,024/x
  3. Step 3: Cross multiply
    1,831,377.75x = 3,978,024 × 3,978,024
  4. Step 4: Simplify right side
    1,831,377.75x = 15,824,674,944,576
  5. Step 5: Solve for x
    x = 15,824,674,944,576/1,831,377.75
  6. Step 6: Final answer
    x = 8,640,857.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.