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Finding the Third Proportional to 1,221,846 and 2,632,921

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Solution

The third proportional to 1,221,846 and 2,632,921 is: 5,673,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,846 : 2,632,921 = 2,632,921 : x
  2. Step 2: Convert to fraction form
    1,221,846/2,632,921 = 2,632,921/x
  3. Step 3: Cross multiply
    1,221,846x = 2,632,921 × 2,632,921
  4. Step 4: Simplify right side
    1,221,846x = 6,932,272,992,241
  5. Step 5: Solve for x
    x = 6,932,272,992,241/1,221,846
  6. Step 6: Final answer
    x = 5,673,606.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.