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Finding the Third Proportional to 523,659 and 1,129,983

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Solution

The third proportional to 523,659 and 1,129,983 is: 2,438,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,659 : 1,129,983 = 1,129,983 : x
  2. Step 2: Convert to fraction form
    523,659/1,129,983 = 1,129,983/x
  3. Step 3: Cross multiply
    523,659x = 1,129,983 × 1,129,983
  4. Step 4: Simplify right side
    523,659x = 1,276,861,580,289
  5. Step 5: Solve for x
    x = 1,276,861,580,289/523,659
  6. Step 6: Final answer
    x = 2,438,345.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.