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Finding the Third Proportional to 827,962 and 1,810,900

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Solution

The third proportional to 827,962 and 1,810,900 is: 3,960,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,962 : 1,810,900 = 1,810,900 : x
  2. Step 2: Convert to fraction form
    827,962/1,810,900 = 1,810,900/x
  3. Step 3: Cross multiply
    827,962x = 1,810,900 × 1,810,900
  4. Step 4: Simplify right side
    827,962x = 3,279,358,810,000
  5. Step 5: Solve for x
    x = 3,279,358,810,000/827,962
  6. Step 6: Final answer
    x = 3,960,760.05

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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.