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Finding the Third Proportional to 1,103,947 and 1,644,256

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Solution

The third proportional to 1,103,947 and 1,644,256 is: 2,449,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,947 : 1,644,256 = 1,644,256 : x
  2. Step 2: Convert to fraction form
    1,103,947/1,644,256 = 1,644,256/x
  3. Step 3: Cross multiply
    1,103,947x = 1,644,256 × 1,644,256
  4. Step 4: Simplify right side
    1,103,947x = 2,703,577,793,536
  5. Step 5: Solve for x
    x = 2,703,577,793,536/1,103,947
  6. Step 6: Final answer
    x = 2,449,010.50

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