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Finding the Third Proportional to 1,784,791 and 2,719,013

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Solution

The third proportional to 1,784,791 and 2,719,013 is: 4,142,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,791 : 2,719,013 = 2,719,013 : x
  2. Step 2: Convert to fraction form
    1,784,791/2,719,013 = 2,719,013/x
  3. Step 3: Cross multiply
    1,784,791x = 2,719,013 × 2,719,013
  4. Step 4: Simplify right side
    1,784,791x = 7,393,031,694,169
  5. Step 5: Solve for x
    x = 7,393,031,694,169/1,784,791
  6. Step 6: Final answer
    x = 4,142,239.45

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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.