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Finding the Third Proportional to 2,141,677 and 4,674,026

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Solution

The third proportional to 2,141,677 and 4,674,026 is: 10,200,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,677 : 4,674,026 = 4,674,026 : x
  2. Step 2: Convert to fraction form
    2,141,677/4,674,026 = 4,674,026/x
  3. Step 3: Cross multiply
    2,141,677x = 4,674,026 × 4,674,026
  4. Step 4: Simplify right side
    2,141,677x = 21,846,519,048,676
  5. Step 5: Solve for x
    x = 21,846,519,048,676/2,141,677
  6. Step 6: Final answer
    x = 10,200,660.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.