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Finding the Third Proportional to 822,668 and 1,802,904

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Solution

The third proportional to 822,668 and 1,802,904 is: 3,951,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,668 : 1,802,904 = 1,802,904 : x
  2. Step 2: Convert to fraction form
    822,668/1,802,904 = 1,802,904/x
  3. Step 3: Cross multiply
    822,668x = 1,802,904 × 1,802,904
  4. Step 4: Simplify right side
    822,668x = 3,250,462,833,216
  5. Step 5: Solve for x
    x = 3,250,462,833,216/822,668
  6. Step 6: Final answer
    x = 3,951,123.46

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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.