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Finding the Third Proportional to 406,293 and 875,021

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Solution

The third proportional to 406,293 and 875,021 is: 1,884,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,293 : 875,021 = 875,021 : x
  2. Step 2: Convert to fraction form
    406,293/875,021 = 875,021/x
  3. Step 3: Cross multiply
    406,293x = 875,021 × 875,021
  4. Step 4: Simplify right side
    406,293x = 765,661,750,441
  5. Step 5: Solve for x
    x = 765,661,750,441/406,293
  6. Step 6: Final answer
    x = 1,884,506.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.