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Finding the Third Proportional to 2,189,930 and 4,682,506

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Solution

The third proportional to 2,189,930 and 4,682,506 is: 10,012,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,930 : 4,682,506 = 4,682,506 : x
  2. Step 2: Convert to fraction form
    2,189,930/4,682,506 = 4,682,506/x
  3. Step 3: Cross multiply
    2,189,930x = 4,682,506 × 4,682,506
  4. Step 4: Simplify right side
    2,189,930x = 21,925,862,440,036
  5. Step 5: Solve for x
    x = 21,925,862,440,036/2,189,930
  6. Step 6: Final answer
    x = 10,012,129.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.