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Finding the Third Proportional to 647,472 and 980,238

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Solution

The third proportional to 647,472 and 980,238 is: 1,484,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472 : 980,238 = 980,238 : x
  2. Step 2: Convert to fraction form
    647,472/980,238 = 980,238/x
  3. Step 3: Cross multiply
    647,472x = 980,238 × 980,238
  4. Step 4: Simplify right side
    647,472x = 960,866,536,644
  5. Step 5: Solve for x
    x = 960,866,536,644/647,472
  6. Step 6: Final answer
    x = 1,484,027.94

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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.