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Finding the Third Proportional to 768,322 and 1,676,612

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Solution

The third proportional to 768,322 and 1,676,612 is: 3,658,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,322 : 1,676,612 = 1,676,612 : x
  2. Step 2: Convert to fraction form
    768,322/1,676,612 = 1,676,612/x
  3. Step 3: Cross multiply
    768,322x = 1,676,612 × 1,676,612
  4. Step 4: Simplify right side
    768,322x = 2,811,027,798,544
  5. Step 5: Solve for x
    x = 2,811,027,798,544/768,322
  6. Step 6: Final answer
    x = 3,658,658.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.