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Finding the Third Proportional to 1,972,824 and 4,310,928

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Solution

The third proportional to 1,972,824 and 4,310,928 is: 9,420,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,824 : 4,310,928 = 4,310,928 : x
  2. Step 2: Convert to fraction form
    1,972,824/4,310,928 = 4,310,928/x
  3. Step 3: Cross multiply
    1,972,824x = 4,310,928 × 4,310,928
  4. Step 4: Simplify right side
    1,972,824x = 18,584,100,221,184
  5. Step 5: Solve for x
    x = 18,584,100,221,184/1,972,824
  6. Step 6: Final answer
    x = 9,420,049.75

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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.