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Finding the Third Proportional to 2,141,676 and 4,674,024

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Solution

The third proportional to 2,141,676 and 4,674,024 is: 10,200,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,676 : 4,674,024 = 4,674,024 : x
  2. Step 2: Convert to fraction form
    2,141,676/4,674,024 = 4,674,024/x
  3. Step 3: Cross multiply
    2,141,676x = 4,674,024 × 4,674,024
  4. Step 4: Simplify right side
    2,141,676x = 21,846,500,352,576
  5. Step 5: Solve for x
    x = 21,846,500,352,576/2,141,676
  6. Step 6: Final answer
    x = 10,200,656.10

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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.