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Finding the Third Proportional to 1,972,841 and 4,310,962

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Solution

The third proportional to 1,972,841 and 4,310,962 is: 9,420,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,841 : 4,310,962 = 4,310,962 : x
  2. Step 2: Convert to fraction form
    1,972,841/4,310,962 = 4,310,962/x
  3. Step 3: Cross multiply
    1,972,841x = 4,310,962 × 4,310,962
  4. Step 4: Simplify right side
    1,972,841x = 18,584,393,365,444
  5. Step 5: Solve for x
    x = 18,584,393,365,444/1,972,841
  6. Step 6: Final answer
    x = 9,420,117.16

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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.