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Finding the Third Proportional to 647,851.50 and 1,016,185.50

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Solution

The third proportional to 647,851.50 and 1,016,185.50 is: 1,593,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,851.50 : 1,016,185.50 = 1,016,185.50 : x
  2. Step 2: Convert to fraction form
    647,851.50/1,016,185.50 = 1,016,185.50/x
  3. Step 3: Cross multiply
    647,851.50x = 1,016,185.50 × 1,016,185.50
  4. Step 4: Simplify right side
    647,851.50x = 1,032,632,970,410.25
  5. Step 5: Solve for x
    x = 1,032,632,970,410.25/647,851.50
  6. Step 6: Final answer
    x = 1,593,934.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.