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Finding the Third Proportional to 2,982,048 and 4,590,351

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Solution

The third proportional to 2,982,048 and 4,590,351 is: 7,066,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,048 : 4,590,351 = 4,590,351 : x
  2. Step 2: Convert to fraction form
    2,982,048/4,590,351 = 4,590,351/x
  3. Step 3: Cross multiply
    2,982,048x = 4,590,351 × 4,590,351
  4. Step 4: Simplify right side
    2,982,048x = 21,071,322,303,201
  5. Step 5: Solve for x
    x = 21,071,322,303,201/2,982,048
  6. Step 6: Final answer
    x = 7,066,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.