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Finding the Third Proportional to 1,042,760 and 2,284,825

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Solution

The third proportional to 1,042,760 and 2,284,825 is: 5,006,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,760 : 2,284,825 = 2,284,825 : x
  2. Step 2: Convert to fraction form
    1,042,760/2,284,825 = 2,284,825/x
  3. Step 3: Cross multiply
    1,042,760x = 2,284,825 × 2,284,825
  4. Step 4: Simplify right side
    1,042,760x = 5,220,425,280,625
  5. Step 5: Solve for x
    x = 5,220,425,280,625/1,042,760
  6. Step 6: Final answer
    x = 5,006,353.60

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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.