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Finding the Third Proportional to 1,301,611 and 2,813,777

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Solution

The third proportional to 1,301,611 and 2,813,777 is: 6,082,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,611 : 2,813,777 = 2,813,777 : x
  2. Step 2: Convert to fraction form
    1,301,611/2,813,777 = 2,813,777/x
  3. Step 3: Cross multiply
    1,301,611x = 2,813,777 × 2,813,777
  4. Step 4: Simplify right side
    1,301,611x = 7,917,341,005,729
  5. Step 5: Solve for x
    x = 7,917,341,005,729/1,301,611
  6. Step 6: Final answer
    x = 6,082,724.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.