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Finding the Third Proportional to 613,416 and 931,162

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Solution

The third proportional to 613,416 and 931,162 is: 1,413,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,416 : 931,162 = 931,162 : x
  2. Step 2: Convert to fraction form
    613,416/931,162 = 931,162/x
  3. Step 3: Cross multiply
    613,416x = 931,162 × 931,162
  4. Step 4: Simplify right side
    613,416x = 867,062,670,244
  5. Step 5: Solve for x
    x = 867,062,670,244/613,416
  6. Step 6: Final answer
    x = 1,413,498.62

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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.