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Finding the Third Proportional to 2,181,396 and 4,659,729

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Solution

The third proportional to 2,181,396 and 4,659,729 is: 9,953,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,396 : 4,659,729 = 4,659,729 : x
  2. Step 2: Convert to fraction form
    2,181,396/4,659,729 = 4,659,729/x
  3. Step 3: Cross multiply
    2,181,396x = 4,659,729 × 4,659,729
  4. Step 4: Simplify right side
    2,181,396x = 21,713,074,353,441
  5. Step 5: Solve for x
    x = 21,713,074,353,441/2,181,396
  6. Step 6: Final answer
    x = 9,953,751.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.