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Finding the Third Proportional to 647,652 and 980,496

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Solution

The third proportional to 647,652 and 980,496 is: 1,484,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,652 : 980,496 = 980,496 : x
  2. Step 2: Convert to fraction form
    647,652/980,496 = 980,496/x
  3. Step 3: Cross multiply
    647,652x = 980,496 × 980,496
  4. Step 4: Simplify right side
    647,652x = 961,372,406,016
  5. Step 5: Solve for x
    x = 961,372,406,016/647,652
  6. Step 6: Final answer
    x = 1,484,396.57

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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.