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Finding the Third Proportional to 591,229 and 901,605

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Solution

The third proportional to 591,229 and 901,605 is: 1,374,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,229 : 901,605 = 901,605 : x
  2. Step 2: Convert to fraction form
    591,229/901,605 = 901,605/x
  3. Step 3: Cross multiply
    591,229x = 901,605 × 901,605
  4. Step 4: Simplify right side
    591,229x = 812,891,576,025
  5. Step 5: Solve for x
    x = 812,891,576,025/591,229
  6. Step 6: Final answer
    x = 1,374,918.31

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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.