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Finding the Third Proportional to 601,665 and 902,615

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Solution

The third proportional to 601,665 and 902,615 is: 1,354,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,665 : 902,615 = 902,615 : x
  2. Step 2: Convert to fraction form
    601,665/902,615 = 902,615/x
  3. Step 3: Cross multiply
    601,665x = 902,615 × 902,615
  4. Step 4: Simplify right side
    601,665x = 814,713,838,225
  5. Step 5: Solve for x
    x = 814,713,838,225/601,665
  6. Step 6: Final answer
    x = 1,354,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.