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Finding the Third Proportional to 407,603 and 893,857

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Solution

The third proportional to 407,603 and 893,857 is: 1,960,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,603 : 893,857 = 893,857 : x
  2. Step 2: Convert to fraction form
    407,603/893,857 = 893,857/x
  3. Step 3: Cross multiply
    407,603x = 893,857 × 893,857
  4. Step 4: Simplify right side
    407,603x = 798,980,336,449
  5. Step 5: Solve for x
    x = 798,980,336,449/407,603
  6. Step 6: Final answer
    x = 1,960,192.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.