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Finding the Third Proportional to 2,009,864 and 4,368,768

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Solution

The third proportional to 2,009,864 and 4,368,768 is: 9,496,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,864 : 4,368,768 = 4,368,768 : x
  2. Step 2: Convert to fraction form
    2,009,864/4,368,768 = 4,368,768/x
  3. Step 3: Cross multiply
    2,009,864x = 4,368,768 × 4,368,768
  4. Step 4: Simplify right side
    2,009,864x = 19,086,133,837,824
  5. Step 5: Solve for x
    x = 19,086,133,837,824/2,009,864
  6. Step 6: Final answer
    x = 9,496,231.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.