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Finding the Third Proportional to 2,212,856 and 4,827,856

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Solution

The third proportional to 2,212,856 and 4,827,856 is: 10,533,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,856 : 4,827,856 = 4,827,856 : x
  2. Step 2: Convert to fraction form
    2,212,856/4,827,856 = 4,827,856/x
  3. Step 3: Cross multiply
    2,212,856x = 4,827,856 × 4,827,856
  4. Step 4: Simplify right side
    2,212,856x = 23,308,193,556,736
  5. Step 5: Solve for x
    x = 23,308,193,556,736/2,212,856
  6. Step 6: Final answer
    x = 10,533,081.93

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Why These Related Problems?

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