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Finding the Third Proportional to 388,299 and 906,906

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Solution

The third proportional to 388,299 and 906,906 is: 2,118,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,299 : 906,906 = 906,906 : x
  2. Step 2: Convert to fraction form
    388,299/906,906 = 906,906/x
  3. Step 3: Cross multiply
    388,299x = 906,906 × 906,906
  4. Step 4: Simplify right side
    388,299x = 822,478,492,836
  5. Step 5: Solve for x
    x = 822,478,492,836/388,299
  6. Step 6: Final answer
    x = 2,118,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.