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Finding the Third Proportional to 647,549 and 980,355

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Solution

The third proportional to 647,549 and 980,355 is: 1,484,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,549 : 980,355 = 980,355 : x
  2. Step 2: Convert to fraction form
    647,549/980,355 = 980,355/x
  3. Step 3: Cross multiply
    647,549x = 980,355 × 980,355
  4. Step 4: Simplify right side
    647,549x = 961,095,926,025
  5. Step 5: Solve for x
    x = 961,095,926,025/647,549
  6. Step 6: Final answer
    x = 1,484,205.71

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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.