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Finding the Third Proportional to 924,571 and 1,467,029

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Solution

The third proportional to 924,571 and 1,467,029 is: 2,327,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,571 : 1,467,029 = 1,467,029 : x
  2. Step 2: Convert to fraction form
    924,571/1,467,029 = 1,467,029/x
  3. Step 3: Cross multiply
    924,571x = 1,467,029 × 1,467,029
  4. Step 4: Simplify right side
    924,571x = 2,152,174,086,841
  5. Step 5: Solve for x
    x = 2,152,174,086,841/924,571
  6. Step 6: Final answer
    x = 2,327,754.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.