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Finding the Third Proportional to 728,416 and 1,485,722

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Solution

The third proportional to 728,416 and 1,485,722 is: 3,030,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,416 : 1,485,722 = 1,485,722 : x
  2. Step 2: Convert to fraction form
    728,416/1,485,722 = 1,485,722/x
  3. Step 3: Cross multiply
    728,416x = 1,485,722 × 1,485,722
  4. Step 4: Simplify right side
    728,416x = 2,207,369,861,284
  5. Step 5: Solve for x
    x = 2,207,369,861,284/728,416
  6. Step 6: Final answer
    x = 3,030,369.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.