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Finding the Third Proportional to 1,784,790 and 2,719,012

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Solution

The third proportional to 1,784,790 and 2,719,012 is: 4,142,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,790 : 2,719,012 = 2,719,012 : x
  2. Step 2: Convert to fraction form
    1,784,790/2,719,012 = 2,719,012/x
  3. Step 3: Cross multiply
    1,784,790x = 2,719,012 × 2,719,012
  4. Step 4: Simplify right side
    1,784,790x = 7,393,026,256,144
  5. Step 5: Solve for x
    x = 7,393,026,256,144/1,784,790
  6. Step 6: Final answer
    x = 4,142,238.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.