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Finding the Third Proportional to 739,462 and 1,513,971

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Solution

The third proportional to 739,462 and 1,513,971 is: 3,099,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,462 : 1,513,971 = 1,513,971 : x
  2. Step 2: Convert to fraction form
    739,462/1,513,971 = 1,513,971/x
  3. Step 3: Cross multiply
    739,462x = 1,513,971 × 1,513,971
  4. Step 4: Simplify right side
    739,462x = 2,292,108,188,841
  5. Step 5: Solve for x
    x = 2,292,108,188,841/739,462
  6. Step 6: Final answer
    x = 3,099,697.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.