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Finding the Third Proportional to 507,726 and 1,094,791.50

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Solution

The third proportional to 507,726 and 1,094,791.50 is: 2,360,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,726 : 1,094,791.50 = 1,094,791.50 : x
  2. Step 2: Convert to fraction form
    507,726/1,094,791.50 = 1,094,791.50/x
  3. Step 3: Cross multiply
    507,726x = 1,094,791.50 × 1,094,791.50
  4. Step 4: Simplify right side
    507,726x = 1,198,568,428,472.25
  5. Step 5: Solve for x
    x = 1,198,568,428,472.25/507,726
  6. Step 6: Final answer
    x = 2,360,659.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.