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Finding the Third Proportional to 411,856 and 893,464

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Solution

The third proportional to 411,856 and 893,464 is: 1,938,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,856 : 893,464 = 893,464 : x
  2. Step 2: Convert to fraction form
    411,856/893,464 = 893,464/x
  3. Step 3: Cross multiply
    411,856x = 893,464 × 893,464
  4. Step 4: Simplify right side
    411,856x = 798,277,919,296
  5. Step 5: Solve for x
    x = 798,277,919,296/411,856
  6. Step 6: Final answer
    x = 1,938,245.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.