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Finding the Third Proportional to 647,462 and 980,223

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Solution

The third proportional to 647,462 and 980,223 is: 1,484,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,462 : 980,223 = 980,223 : x
  2. Step 2: Convert to fraction form
    647,462/980,223 = 980,223/x
  3. Step 3: Cross multiply
    647,462x = 980,223 × 980,223
  4. Step 4: Simplify right side
    647,462x = 960,837,129,729
  5. Step 5: Solve for x
    x = 960,837,129,729/647,462
  6. Step 6: Final answer
    x = 1,484,005.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.