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Finding the Third Proportional to 2,049,088 and 4,413,824

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Solution

The third proportional to 2,049,088 and 4,413,824 is: 9,507,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,088 : 4,413,824 = 4,413,824 : x
  2. Step 2: Convert to fraction form
    2,049,088/4,413,824 = 4,413,824/x
  3. Step 3: Cross multiply
    2,049,088x = 4,413,824 × 4,413,824
  4. Step 4: Simplify right side
    2,049,088x = 19,481,842,302,976
  5. Step 5: Solve for x
    x = 19,481,842,302,976/2,049,088
  6. Step 6: Final answer
    x = 9,507,567.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.