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Finding the Third Proportional to 1,972,254 and 2,958,372

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Solution

The third proportional to 1,972,254 and 2,958,372 is: 4,437,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,254 : 2,958,372 = 2,958,372 : x
  2. Step 2: Convert to fraction form
    1,972,254/2,958,372 = 2,958,372/x
  3. Step 3: Cross multiply
    1,972,254x = 2,958,372 × 2,958,372
  4. Step 4: Simplify right side
    1,972,254x = 8,751,964,890,384
  5. Step 5: Solve for x
    x = 8,751,964,890,384/1,972,254
  6. Step 6: Final answer
    x = 4,437,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.