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Finding the Third Proportional to 1,536,815 and 2,292,766

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Solution

The third proportional to 1,536,815 and 2,292,766 is: 3,420,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,815 : 2,292,766 = 2,292,766 : x
  2. Step 2: Convert to fraction form
    1,536,815/2,292,766 = 2,292,766/x
  3. Step 3: Cross multiply
    1,536,815x = 2,292,766 × 2,292,766
  4. Step 4: Simplify right side
    1,536,815x = 5,256,775,930,756
  5. Step 5: Solve for x
    x = 5,256,775,930,756/1,536,815
  6. Step 6: Final answer
    x = 3,420,565.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.