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Finding the Third Proportional to 374,229 and 902,241

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Solution

The third proportional to 374,229 and 902,241 is: 2,175,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,229 : 902,241 = 902,241 : x
  2. Step 2: Convert to fraction form
    374,229/902,241 = 902,241/x
  3. Step 3: Cross multiply
    374,229x = 902,241 × 902,241
  4. Step 4: Simplify right side
    374,229x = 814,038,822,081
  5. Step 5: Solve for x
    x = 814,038,822,081/374,229
  6. Step 6: Final answer
    x = 2,175,242.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.