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Finding the Third Proportional to 663,738 and 1,456,500

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Solution

The third proportional to 663,738 and 1,456,500 is: 3,196,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,738 : 1,456,500 = 1,456,500 : x
  2. Step 2: Convert to fraction form
    663,738/1,456,500 = 1,456,500/x
  3. Step 3: Cross multiply
    663,738x = 1,456,500 × 1,456,500
  4. Step 4: Simplify right side
    663,738x = 2,121,392,250,000
  5. Step 5: Solve for x
    x = 2,121,392,250,000/663,738
  6. Step 6: Final answer
    x = 3,196,128.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.