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Finding the Third Proportional to 2,229,864 and 4,892,784

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Solution

The third proportional to 2,229,864 and 4,892,784 is: 10,735,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,864 : 4,892,784 = 4,892,784 : x
  2. Step 2: Convert to fraction form
    2,229,864/4,892,784 = 4,892,784/x
  3. Step 3: Cross multiply
    2,229,864x = 4,892,784 × 4,892,784
  4. Step 4: Simplify right side
    2,229,864x = 23,939,335,270,656
  5. Step 5: Solve for x
    x = 23,939,335,270,656/2,229,864
  6. Step 6: Final answer
    x = 10,735,782.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.