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Finding the Third Proportional to 1,433,400 and 2,072,034

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Solution

The third proportional to 1,433,400 and 2,072,034 is: 2,995,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,400 : 2,072,034 = 2,072,034 : x
  2. Step 2: Convert to fraction form
    1,433,400/2,072,034 = 2,072,034/x
  3. Step 3: Cross multiply
    1,433,400x = 2,072,034 × 2,072,034
  4. Step 4: Simplify right side
    1,433,400x = 4,293,324,897,156
  5. Step 5: Solve for x
    x = 4,293,324,897,156/1,433,400
  6. Step 6: Final answer
    x = 2,995,203.64

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.