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Finding the Third Proportional to 584,165 and 902,042

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Solution

The third proportional to 584,165 and 902,042 is: 1,392,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,165 : 902,042 = 902,042 : x
  2. Step 2: Convert to fraction form
    584,165/902,042 = 902,042/x
  3. Step 3: Cross multiply
    584,165x = 902,042 × 902,042
  4. Step 4: Simplify right side
    584,165x = 813,679,769,764
  5. Step 5: Solve for x
    x = 813,679,769,764/584,165
  6. Step 6: Final answer
    x = 1,392,893.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.