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Finding the Third Proportional to 1,135,198.50 and 1,757,878.50

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Solution

The third proportional to 1,135,198.50 and 1,757,878.50 is: 2,722,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,198.50 : 1,757,878.50 = 1,757,878.50 : x
  2. Step 2: Convert to fraction form
    1,135,198.50/1,757,878.50 = 1,757,878.50/x
  3. Step 3: Cross multiply
    1,135,198.50x = 1,757,878.50 × 1,757,878.50
  4. Step 4: Simplify right side
    1,135,198.50x = 3,090,136,820,762.25
  5. Step 5: Solve for x
    x = 3,090,136,820,762.25/1,135,198.50
  6. Step 6: Final answer
    x = 2,722,111.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.