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Finding the Third Proportional to 591,852 and 902,520

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Solution

The third proportional to 591,852 and 902,520 is: 1,376,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,852 : 902,520 = 902,520 : x
  2. Step 2: Convert to fraction form
    591,852/902,520 = 902,520/x
  3. Step 3: Cross multiply
    591,852x = 902,520 × 902,520
  4. Step 4: Simplify right side
    591,852x = 814,542,350,400
  5. Step 5: Solve for x
    x = 814,542,350,400/591,852
  6. Step 6: Final answer
    x = 1,376,260.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.