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Finding the Third Proportional to 647,545 and 980,349

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Solution

The third proportional to 647,545 and 980,349 is: 1,484,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,545 : 980,349 = 980,349 : x
  2. Step 2: Convert to fraction form
    647,545/980,349 = 980,349/x
  3. Step 3: Cross multiply
    647,545x = 980,349 × 980,349
  4. Step 4: Simplify right side
    647,545x = 961,084,161,801
  5. Step 5: Solve for x
    x = 961,084,161,801/647,545
  6. Step 6: Final answer
    x = 1,484,196.71

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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.