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Finding the Third Proportional to 777,974 and 1,609,944

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Solution

The third proportional to 777,974 and 1,609,944 is: 3,331,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,974 : 1,609,944 = 1,609,944 : x
  2. Step 2: Convert to fraction form
    777,974/1,609,944 = 1,609,944/x
  3. Step 3: Cross multiply
    777,974x = 1,609,944 × 1,609,944
  4. Step 4: Simplify right side
    777,974x = 2,591,919,683,136
  5. Step 5: Solve for x
    x = 2,591,919,683,136/777,974
  6. Step 6: Final answer
    x = 3,331,627.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.