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Finding the Third Proportional to 423,788 and 914,794

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Solution

The third proportional to 423,788 and 914,794 is: 1,974,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,788 : 914,794 = 914,794 : x
  2. Step 2: Convert to fraction form
    423,788/914,794 = 914,794/x
  3. Step 3: Cross multiply
    423,788x = 914,794 × 914,794
  4. Step 4: Simplify right side
    423,788x = 836,848,062,436
  5. Step 5: Solve for x
    x = 836,848,062,436/423,788
  6. Step 6: Final answer
    x = 1,974,685.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.