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Finding the Third Proportional to 712,186 and 1,647,296

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Solution

The third proportional to 712,186 and 1,647,296 is: 3,810,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,186 : 1,647,296 = 1,647,296 : x
  2. Step 2: Convert to fraction form
    712,186/1,647,296 = 1,647,296/x
  3. Step 3: Cross multiply
    712,186x = 1,647,296 × 1,647,296
  4. Step 4: Simplify right side
    712,186x = 2,713,584,111,616
  5. Step 5: Solve for x
    x = 2,713,584,111,616/712,186
  6. Step 6: Final answer
    x = 3,810,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.