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Finding the Third Proportional to 1,831,970 and 3,907,404

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Solution

The third proportional to 1,831,970 and 3,907,404 is: 8,334,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,970 : 3,907,404 = 3,907,404 : x
  2. Step 2: Convert to fraction form
    1,831,970/3,907,404 = 3,907,404/x
  3. Step 3: Cross multiply
    1,831,970x = 3,907,404 × 3,907,404
  4. Step 4: Simplify right side
    1,831,970x = 15,267,806,019,216
  5. Step 5: Solve for x
    x = 15,267,806,019,216/1,831,970
  6. Step 6: Final answer
    x = 8,334,091.73

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