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Finding the Third Proportional to 1,171,019.75 and 2,611,294.25

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Solution

The third proportional to 1,171,019.75 and 2,611,294.25 is: 5,823,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,019.75 : 2,611,294.25 = 2,611,294.25 : x
  2. Step 2: Convert to fraction form
    1,171,019.75/2,611,294.25 = 2,611,294.25/x
  3. Step 3: Cross multiply
    1,171,019.75x = 2,611,294.25 × 2,611,294.25
  4. Step 4: Simplify right side
    1,171,019.75x = 6,818,857,660,083.06
  5. Step 5: Solve for x
    x = 6,818,857,660,083.06/1,171,019.75
  6. Step 6: Final answer
    x = 5,823,008.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.