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Finding the Third Proportional to 2,229,840 and 3,365,640

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Solution

The third proportional to 2,229,840 and 3,365,640 is: 5,079,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,840 : 3,365,640 = 3,365,640 : x
  2. Step 2: Convert to fraction form
    2,229,840/3,365,640 = 3,365,640/x
  3. Step 3: Cross multiply
    2,229,840x = 3,365,640 × 3,365,640
  4. Step 4: Simplify right side
    2,229,840x = 11,327,532,609,600
  5. Step 5: Solve for x
    x = 11,327,532,609,600/2,229,840
  6. Step 6: Final answer
    x = 5,079,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.