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Finding the Third Proportional to 2,052,216 and 4,454,844

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Solution

The third proportional to 2,052,216 and 4,454,844 is: 9,670,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,216 : 4,454,844 = 4,454,844 : x
  2. Step 2: Convert to fraction form
    2,052,216/4,454,844 = 4,454,844/x
  3. Step 3: Cross multiply
    2,052,216x = 4,454,844 × 4,454,844
  4. Step 4: Simplify right side
    2,052,216x = 19,845,635,064,336
  5. Step 5: Solve for x
    x = 19,845,635,064,336/2,052,216
  6. Step 6: Final answer
    x = 9,670,344.19

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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.