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Finding the Third Proportional to 1,286,216 and 2,793,856

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Solution

The third proportional to 1,286,216 and 2,793,856 is: 6,068,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,216 : 2,793,856 = 2,793,856 : x
  2. Step 2: Convert to fraction form
    1,286,216/2,793,856 = 2,793,856/x
  3. Step 3: Cross multiply
    1,286,216x = 2,793,856 × 2,793,856
  4. Step 4: Simplify right side
    1,286,216x = 7,805,631,348,736
  5. Step 5: Solve for x
    x = 7,805,631,348,736/1,286,216
  6. Step 6: Final answer
    x = 6,068,678.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.