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Finding the Third Proportional to 1,632,002 and 2,533,251

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Solution

The third proportional to 1,632,002 and 2,533,251 is: 3,932,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,002 : 2,533,251 = 2,533,251 : x
  2. Step 2: Convert to fraction form
    1,632,002/2,533,251 = 2,533,251/x
  3. Step 3: Cross multiply
    1,632,002x = 2,533,251 × 2,533,251
  4. Step 4: Simplify right side
    1,632,002x = 6,417,360,629,001
  5. Step 5: Solve for x
    x = 6,417,360,629,001/1,632,002
  6. Step 6: Final answer
    x = 3,932,201.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.