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Finding the Third Proportional to 2,397,768 and 5,234,888

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Solution

The third proportional to 2,397,768 and 5,234,888 is: 11,428,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,768 : 5,234,888 = 5,234,888 : x
  2. Step 2: Convert to fraction form
    2,397,768/5,234,888 = 5,234,888/x
  3. Step 3: Cross multiply
    2,397,768x = 5,234,888 × 5,234,888
  4. Step 4: Simplify right side
    2,397,768x = 27,404,052,372,544
  5. Step 5: Solve for x
    x = 27,404,052,372,544/2,397,768
  6. Step 6: Final answer
    x = 11,428,984.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.