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Finding the Third Proportional to 2,382,784 and 5,185,856

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Solution

The third proportional to 2,382,784 and 5,185,856 is: 11,286,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,784 : 5,185,856 = 5,185,856 : x
  2. Step 2: Convert to fraction form
    2,382,784/5,185,856 = 5,185,856/x
  3. Step 3: Cross multiply
    2,382,784x = 5,185,856 × 5,185,856
  4. Step 4: Simplify right side
    2,382,784x = 26,893,102,452,736
  5. Step 5: Solve for x
    x = 26,893,102,452,736/2,382,784
  6. Step 6: Final answer
    x = 11,286,420.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.