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Finding the Third Proportional to 601,646 and 902,600

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Solution

The third proportional to 601,646 and 902,600 is: 1,354,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,646 : 902,600 = 902,600 : x
  2. Step 2: Convert to fraction form
    601,646/902,600 = 902,600/x
  3. Step 3: Cross multiply
    601,646x = 902,600 × 902,600
  4. Step 4: Simplify right side
    601,646x = 814,686,760,000
  5. Step 5: Solve for x
    x = 814,686,760,000/601,646
  6. Step 6: Final answer
    x = 1,354,096.53

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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.