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Finding the Third Proportional to 653,664 and 980,166

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Solution

The third proportional to 653,664 and 980,166 is: 1,469,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,664 : 980,166 = 980,166 : x
  2. Step 2: Convert to fraction form
    653,664/980,166 = 980,166/x
  3. Step 3: Cross multiply
    653,664x = 980,166 × 980,166
  4. Step 4: Simplify right side
    653,664x = 960,725,387,556
  5. Step 5: Solve for x
    x = 960,725,387,556/653,664
  6. Step 6: Final answer
    x = 1,469,754.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.