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Finding the Third Proportional to 2,189,172 and 4,790,680

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Solution

The third proportional to 2,189,172 and 4,790,680 is: 10,483,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,172 : 4,790,680 = 4,790,680 : x
  2. Step 2: Convert to fraction form
    2,189,172/4,790,680 = 4,790,680/x
  3. Step 3: Cross multiply
    2,189,172x = 4,790,680 × 4,790,680
  4. Step 4: Simplify right side
    2,189,172x = 22,950,614,862,400
  5. Step 5: Solve for x
    x = 22,950,614,862,400/2,189,172
  6. Step 6: Final answer
    x = 10,483,696.51

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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.