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Finding the Third Proportional to 625,869 and 941,715

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Solution

The third proportional to 625,869 and 941,715 is: 1,416,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,869 : 941,715 = 941,715 : x
  2. Step 2: Convert to fraction form
    625,869/941,715 = 941,715/x
  3. Step 3: Cross multiply
    625,869x = 941,715 × 941,715
  4. Step 4: Simplify right side
    625,869x = 886,827,141,225
  5. Step 5: Solve for x
    x = 886,827,141,225/625,869
  6. Step 6: Final answer
    x = 1,416,953.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.