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Finding the Third Proportional to 727,647 and 1,530,697

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Solution

The third proportional to 727,647 and 1,530,697 is: 3,220,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,647 : 1,530,697 = 1,530,697 : x
  2. Step 2: Convert to fraction form
    727,647/1,530,697 = 1,530,697/x
  3. Step 3: Cross multiply
    727,647x = 1,530,697 × 1,530,697
  4. Step 4: Simplify right side
    727,647x = 2,343,033,305,809
  5. Step 5: Solve for x
    x = 2,343,033,305,809/727,647
  6. Step 6: Final answer
    x = 3,220,013.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.