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Finding the Third Proportional to 1,902,570 and 2,869,982.75

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Solution

The third proportional to 1,902,570 and 2,869,982.75 is: 4,329,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,570 : 2,869,982.75 = 2,869,982.75 : x
  2. Step 2: Convert to fraction form
    1,902,570/2,869,982.75 = 2,869,982.75/x
  3. Step 3: Cross multiply
    1,902,570x = 2,869,982.75 × 2,869,982.75
  4. Step 4: Simplify right side
    1,902,570x = 8,236,800,985,297.56
  5. Step 5: Solve for x
    x = 8,236,800,985,297.56/1,902,570
  6. Step 6: Final answer
    x = 4,329,302.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.