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Finding the Third Proportional to 411,852 and 902,432

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Solution

The third proportional to 411,852 and 902,432 is: 1,977,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,852 : 902,432 = 902,432 : x
  2. Step 2: Convert to fraction form
    411,852/902,432 = 902,432/x
  3. Step 3: Cross multiply
    411,852x = 902,432 × 902,432
  4. Step 4: Simplify right side
    411,852x = 814,383,514,624
  5. Step 5: Solve for x
    x = 814,383,514,624/411,852
  6. Step 6: Final answer
    x = 1,977,369.33

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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.