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Finding the Third Proportional to 828,900 and 1,832,010

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Solution

The third proportional to 828,900 and 1,832,010 is: 4,049,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,900 : 1,832,010 = 1,832,010 : x
  2. Step 2: Convert to fraction form
    828,900/1,832,010 = 1,832,010/x
  3. Step 3: Cross multiply
    828,900x = 1,832,010 × 1,832,010
  4. Step 4: Simplify right side
    828,900x = 3,356,260,640,100
  5. Step 5: Solve for x
    x = 3,356,260,640,100/828,900
  6. Step 6: Final answer
    x = 4,049,053.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.