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Finding the Third Proportional to 657,664 and 984,696

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Solution

The third proportional to 657,664 and 984,696 is: 1,474,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,664 : 984,696 = 984,696 : x
  2. Step 2: Convert to fraction form
    657,664/984,696 = 984,696/x
  3. Step 3: Cross multiply
    657,664x = 984,696 × 984,696
  4. Step 4: Simplify right side
    657,664x = 969,626,212,416
  5. Step 5: Solve for x
    x = 969,626,212,416/657,664
  6. Step 6: Final answer
    x = 1,474,348.93

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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.