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Finding the Third Proportional to 654,616 and 1,015,975

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Solution

The third proportional to 654,616 and 1,015,975 is: 1,576,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,616 : 1,015,975 = 1,015,975 : x
  2. Step 2: Convert to fraction form
    654,616/1,015,975 = 1,015,975/x
  3. Step 3: Cross multiply
    654,616x = 1,015,975 × 1,015,975
  4. Step 4: Simplify right side
    654,616x = 1,032,205,200,625
  5. Step 5: Solve for x
    x = 1,032,205,200,625/654,616
  6. Step 6: Final answer
    x = 1,576,810.22

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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.