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Finding the Third Proportional to 1,522,983 and 2,021,619

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Solution

The third proportional to 1,522,983 and 2,021,619 is: 2,683,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522,983 : 2,021,619 = 2,021,619 : x
  2. Step 2: Convert to fraction form
    1,522,983/2,021,619 = 2,021,619/x
  3. Step 3: Cross multiply
    1,522,983x = 2,021,619 × 2,021,619
  4. Step 4: Simplify right side
    1,522,983x = 4,086,943,381,161
  5. Step 5: Solve for x
    x = 4,086,943,381,161/1,522,983
  6. Step 6: Final answer
    x = 2,683,512.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.