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Finding the Third Proportional to 1,972,848 and 4,310,976

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Solution

The third proportional to 1,972,848 and 4,310,976 is: 9,420,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,848 : 4,310,976 = 4,310,976 : x
  2. Step 2: Convert to fraction form
    1,972,848/4,310,976 = 4,310,976/x
  3. Step 3: Cross multiply
    1,972,848x = 4,310,976 × 4,310,976
  4. Step 4: Simplify right side
    1,972,848x = 18,584,514,072,576
  5. Step 5: Solve for x
    x = 18,584,514,072,576/1,972,848
  6. Step 6: Final answer
    x = 9,420,144.92

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Why These Related Problems?

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