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Finding the Third Proportional to 605,615 and 1,314,259

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Solution

The third proportional to 605,615 and 1,314,259 is: 2,852,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,615 : 1,314,259 = 1,314,259 : x
  2. Step 2: Convert to fraction form
    605,615/1,314,259 = 1,314,259/x
  3. Step 3: Cross multiply
    605,615x = 1,314,259 × 1,314,259
  4. Step 4: Simplify right side
    605,615x = 1,727,276,719,081
  5. Step 5: Solve for x
    x = 1,727,276,719,081/605,615
  6. Step 6: Final answer
    x = 2,852,103.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.