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Finding the Third Proportional to 613,426 and 931,177

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Solution

The third proportional to 613,426 and 931,177 is: 1,413,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,426 : 931,177 = 931,177 : x
  2. Step 2: Convert to fraction form
    613,426/931,177 = 931,177/x
  3. Step 3: Cross multiply
    613,426x = 931,177 × 931,177
  4. Step 4: Simplify right side
    613,426x = 867,090,605,329
  5. Step 5: Solve for x
    x = 867,090,605,329/613,426
  6. Step 6: Final answer
    x = 1,413,521.12

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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.