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Finding the Third Proportional to 842,684 and 1,843,021

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Solution

The third proportional to 842,684 and 1,843,021 is: 4,030,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,684 : 1,843,021 = 1,843,021 : x
  2. Step 2: Convert to fraction form
    842,684/1,843,021 = 1,843,021/x
  3. Step 3: Cross multiply
    842,684x = 1,843,021 × 1,843,021
  4. Step 4: Simplify right side
    842,684x = 3,396,726,406,441
  5. Step 5: Solve for x
    x = 3,396,726,406,441/842,684
  6. Step 6: Final answer
    x = 4,030,842.41

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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.