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Finding the Third Proportional to 749,128.50 and 1,617,975

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Solution

The third proportional to 749,128.50 and 1,617,975 is: 3,494,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,128.50 : 1,617,975 = 1,617,975 : x
  2. Step 2: Convert to fraction form
    749,128.50/1,617,975 = 1,617,975/x
  3. Step 3: Cross multiply
    749,128.50x = 1,617,975 × 1,617,975
  4. Step 4: Simplify right side
    749,128.50x = 2,617,843,100,625
  5. Step 5: Solve for x
    x = 2,617,843,100,625/749,128.50
  6. Step 6: Final answer
    x = 3,494,518.10

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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.