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Finding the Third Proportional to 647,351 and 980,022

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Solution

The third proportional to 647,351 and 980,022 is: 1,483,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,351 : 980,022 = 980,022 : x
  2. Step 2: Convert to fraction form
    647,351/980,022 = 980,022/x
  3. Step 3: Cross multiply
    647,351x = 980,022 × 980,022
  4. Step 4: Simplify right side
    647,351x = 960,443,120,484
  5. Step 5: Solve for x
    x = 960,443,120,484/647,351
  6. Step 6: Final answer
    x = 1,483,651.25

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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.