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Finding the Third Proportional to 2,581,650 and 5,672,844

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Solution

The third proportional to 2,581,650 and 5,672,844 is: 12,465,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,650 : 5,672,844 = 5,672,844 : x
  2. Step 2: Convert to fraction form
    2,581,650/5,672,844 = 5,672,844/x
  3. Step 3: Cross multiply
    2,581,650x = 5,672,844 × 5,672,844
  4. Step 4: Simplify right side
    2,581,650x = 32,181,159,048,336
  5. Step 5: Solve for x
    x = 32,181,159,048,336/2,581,650
  6. Step 6: Final answer
    x = 12,465,345.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.