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Finding the Third Proportional to 2,097,415 and 3,238,844

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Solution

The third proportional to 2,097,415 and 3,238,844 is: 5,001,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,415 : 3,238,844 = 3,238,844 : x
  2. Step 2: Convert to fraction form
    2,097,415/3,238,844 = 3,238,844/x
  3. Step 3: Cross multiply
    2,097,415x = 3,238,844 × 3,238,844
  4. Step 4: Simplify right side
    2,097,415x = 10,490,110,456,336
  5. Step 5: Solve for x
    x = 10,490,110,456,336/2,097,415
  6. Step 6: Final answer
    x = 5,001,447.24

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