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Finding the Third Proportional to 1,923,270 and 2,993,769

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Solution

The third proportional to 1,923,270 and 2,993,769 is: 4,660,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,270 : 2,993,769 = 2,993,769 : x
  2. Step 2: Convert to fraction form
    1,923,270/2,993,769 = 2,993,769/x
  3. Step 3: Cross multiply
    1,923,270x = 2,993,769 × 2,993,769
  4. Step 4: Simplify right side
    1,923,270x = 8,962,652,825,361
  5. Step 5: Solve for x
    x = 8,962,652,825,361/1,923,270
  6. Step 6: Final answer
    x = 4,660,111.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.