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Finding the Third Proportional to 728,397 and 1,485,684

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Solution

The third proportional to 728,397 and 1,485,684 is: 3,030,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,397 : 1,485,684 = 1,485,684 : x
  2. Step 2: Convert to fraction form
    728,397/1,485,684 = 1,485,684/x
  3. Step 3: Cross multiply
    728,397x = 1,485,684 × 1,485,684
  4. Step 4: Simplify right side
    728,397x = 2,207,256,947,856
  5. Step 5: Solve for x
    x = 2,207,256,947,856/728,397
  6. Step 6: Final answer
    x = 3,030,293.85

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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.