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Finding the Third Proportional to 1,534,198 and 2,301,297

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Solution

The third proportional to 1,534,198 and 2,301,297 is: 3,451,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,198 : 2,301,297 = 2,301,297 : x
  2. Step 2: Convert to fraction form
    1,534,198/2,301,297 = 2,301,297/x
  3. Step 3: Cross multiply
    1,534,198x = 2,301,297 × 2,301,297
  4. Step 4: Simplify right side
    1,534,198x = 5,295,967,882,209
  5. Step 5: Solve for x
    x = 5,295,967,882,209/1,534,198
  6. Step 6: Final answer
    x = 3,451,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.