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Finding the Third Proportional to 591,266 and 901,659

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Solution

The third proportional to 591,266 and 901,659 is: 1,374,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,266 : 901,659 = 901,659 : x
  2. Step 2: Convert to fraction form
    591,266/901,659 = 901,659/x
  3. Step 3: Cross multiply
    591,266x = 901,659 × 901,659
  4. Step 4: Simplify right side
    591,266x = 812,988,952,281
  5. Step 5: Solve for x
    x = 812,988,952,281/591,266
  6. Step 6: Final answer
    x = 1,374,996.96

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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.