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Finding the Third Proportional to 768,414 and 1,686,296

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Solution

The third proportional to 768,414 and 1,686,296 is: 3,700,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,414 : 1,686,296 = 1,686,296 : x
  2. Step 2: Convert to fraction form
    768,414/1,686,296 = 1,686,296/x
  3. Step 3: Cross multiply
    768,414x = 1,686,296 × 1,686,296
  4. Step 4: Simplify right side
    768,414x = 2,843,594,199,616
  5. Step 5: Solve for x
    x = 2,843,594,199,616/768,414
  6. Step 6: Final answer
    x = 3,700,601.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.