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Finding the Third Proportional to 1,270,285 and 2,724,763

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Solution

The third proportional to 1,270,285 and 2,724,763 is: 5,844,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,285 : 2,724,763 = 2,724,763 : x
  2. Step 2: Convert to fraction form
    1,270,285/2,724,763 = 2,724,763/x
  3. Step 3: Cross multiply
    1,270,285x = 2,724,763 × 2,724,763
  4. Step 4: Simplify right side
    1,270,285x = 7,424,333,406,169
  5. Step 5: Solve for x
    x = 7,424,333,406,169/1,270,285
  6. Step 6: Final answer
    x = 5,844,620.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.