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Finding the Third Proportional to 2,084,997 and 4,507,264

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Solution

The third proportional to 2,084,997 and 4,507,264 is: 9,743,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,997 : 4,507,264 = 4,507,264 : x
  2. Step 2: Convert to fraction form
    2,084,997/4,507,264 = 4,507,264/x
  3. Step 3: Cross multiply
    2,084,997x = 4,507,264 × 4,507,264
  4. Step 4: Simplify right side
    2,084,997x = 20,315,428,765,696
  5. Step 5: Solve for x
    x = 20,315,428,765,696/2,084,997
  6. Step 6: Final answer
    x = 9,743,624.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.