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Finding the Third Proportional to 600,180 and 906,696

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Solution

The third proportional to 600,180 and 906,696 is: 1,369,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,180 : 906,696 = 906,696 : x
  2. Step 2: Convert to fraction form
    600,180/906,696 = 906,696/x
  3. Step 3: Cross multiply
    600,180x = 906,696 × 906,696
  4. Step 4: Simplify right side
    600,180x = 822,097,636,416
  5. Step 5: Solve for x
    x = 822,097,636,416/600,180
  6. Step 6: Final answer
    x = 1,369,751.80

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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.