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Finding the Third Proportional to 2,291,889 and 4,856,976

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Solution

The third proportional to 2,291,889 and 4,856,976 is: 10,292,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,889 : 4,856,976 = 4,856,976 : x
  2. Step 2: Convert to fraction form
    2,291,889/4,856,976 = 4,856,976/x
  3. Step 3: Cross multiply
    2,291,889x = 4,856,976 × 4,856,976
  4. Step 4: Simplify right side
    2,291,889x = 23,590,215,864,576
  5. Step 5: Solve for x
    x = 23,590,215,864,576/2,291,889
  6. Step 6: Final answer
    x = 10,292,913.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.