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Finding the Third Proportional to 2,133,976 and 3,272,012

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Solution

The third proportional to 2,133,976 and 3,272,012 is: 5,016,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,976 : 3,272,012 = 3,272,012 : x
  2. Step 2: Convert to fraction form
    2,133,976/3,272,012 = 3,272,012/x
  3. Step 3: Cross multiply
    2,133,976x = 3,272,012 × 3,272,012
  4. Step 4: Simplify right side
    2,133,976x = 10,706,062,528,144
  5. Step 5: Solve for x
    x = 10,706,062,528,144/2,133,976
  6. Step 6: Final answer
    x = 5,016,955.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.