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Finding the Third Proportional to 798,208 and 1,239,286

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Solution

The third proportional to 798,208 and 1,239,286 is: 1,924,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,208 : 1,239,286 = 1,239,286 : x
  2. Step 2: Convert to fraction form
    798,208/1,239,286 = 1,239,286/x
  3. Step 3: Cross multiply
    798,208x = 1,239,286 × 1,239,286
  4. Step 4: Simplify right side
    798,208x = 1,535,829,789,796
  5. Step 5: Solve for x
    x = 1,535,829,789,796/798,208
  6. Step 6: Final answer
    x = 1,924,097.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.