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Finding the Third Proportional to 1,042,782 and 2,284,884

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Solution

The third proportional to 1,042,782 and 2,284,884 is: 5,006,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,782 : 2,284,884 = 2,284,884 : x
  2. Step 2: Convert to fraction form
    1,042,782/2,284,884 = 2,284,884/x
  3. Step 3: Cross multiply
    1,042,782x = 2,284,884 × 2,284,884
  4. Step 4: Simplify right side
    1,042,782x = 5,220,694,893,456
  5. Step 5: Solve for x
    x = 5,220,694,893,456/1,042,782
  6. Step 6: Final answer
    x = 5,006,506.53

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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.