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Finding the Third Proportional to 1,831,977 and 3,907,419.75

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Solution

The third proportional to 1,831,977 and 3,907,419.75 is: 8,334,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,977 : 3,907,419.75 = 3,907,419.75 : x
  2. Step 2: Convert to fraction form
    1,831,977/3,907,419.75 = 3,907,419.75/x
  3. Step 3: Cross multiply
    1,831,977x = 3,907,419.75 × 3,907,419.75
  4. Step 4: Simplify right side
    1,831,977x = 15,267,929,102,690.06
  5. Step 5: Solve for x
    x = 15,267,929,102,690.06/1,831,977
  6. Step 6: Final answer
    x = 8,334,127.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.