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Finding the Third Proportional to 2,129,622 and 4,618,564

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Solution

The third proportional to 2,129,622 and 4,618,564 is: 10,016,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,622 : 4,618,564 = 4,618,564 : x
  2. Step 2: Convert to fraction form
    2,129,622/4,618,564 = 4,618,564/x
  3. Step 3: Cross multiply
    2,129,622x = 4,618,564 × 4,618,564
  4. Step 4: Simplify right side
    2,129,622x = 21,331,133,422,096
  5. Step 5: Solve for x
    x = 21,331,133,422,096/2,129,622
  6. Step 6: Final answer
    x = 10,016,394.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.