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Finding the Third Proportional to 411,806 and 902,344

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Solution

The third proportional to 411,806 and 902,344 is: 1,977,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,806 : 902,344 = 902,344 : x
  2. Step 2: Convert to fraction form
    411,806/902,344 = 902,344/x
  3. Step 3: Cross multiply
    411,806x = 902,344 × 902,344
  4. Step 4: Simplify right side
    411,806x = 814,224,694,336
  5. Step 5: Solve for x
    x = 814,224,694,336/411,806
  6. Step 6: Final answer
    x = 1,977,204.54

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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.