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Finding the Third Proportional to 709,508 and 1,523,992

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Solution

The third proportional to 709,508 and 1,523,992 is: 3,273,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,508 : 1,523,992 = 1,523,992 : x
  2. Step 2: Convert to fraction form
    709,508/1,523,992 = 1,523,992/x
  3. Step 3: Cross multiply
    709,508x = 1,523,992 × 1,523,992
  4. Step 4: Simplify right side
    709,508x = 2,322,551,616,064
  5. Step 5: Solve for x
    x = 2,322,551,616,064/709,508
  6. Step 6: Final answer
    x = 3,273,467.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.