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Finding the Third Proportional to 822,666 and 1,802,900

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Solution

The third proportional to 822,666 and 1,802,900 is: 3,951,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,666 : 1,802,900 = 1,802,900 : x
  2. Step 2: Convert to fraction form
    822,666/1,802,900 = 1,802,900/x
  3. Step 3: Cross multiply
    822,666x = 1,802,900 × 1,802,900
  4. Step 4: Simplify right side
    822,666x = 3,250,448,410,000
  5. Step 5: Solve for x
    x = 3,250,448,410,000/822,666
  6. Step 6: Final answer
    x = 3,951,115.53

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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.