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Finding the Third Proportional to 600,164 and 906,672

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Solution

The third proportional to 600,164 and 906,672 is: 1,369,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,164 : 906,672 = 906,672 : x
  2. Step 2: Convert to fraction form
    600,164/906,672 = 906,672/x
  3. Step 3: Cross multiply
    600,164x = 906,672 × 906,672
  4. Step 4: Simplify right side
    600,164x = 822,054,115,584
  5. Step 5: Solve for x
    x = 822,054,115,584/600,164
  6. Step 6: Final answer
    x = 1,369,715.80

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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.