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Finding the Third Proportional to 613,403 and 931,142

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Solution

The third proportional to 613,403 and 931,142 is: 1,413,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403 : 931,142 = 931,142 : x
  2. Step 2: Convert to fraction form
    613,403/931,142 = 931,142/x
  3. Step 3: Cross multiply
    613,403x = 931,142 × 931,142
  4. Step 4: Simplify right side
    613,403x = 867,025,424,164
  5. Step 5: Solve for x
    x = 867,025,424,164/613,403
  6. Step 6: Final answer
    x = 1,413,467.86

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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.