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Finding the Third Proportional to 785,995 and 1,600,894

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Solution

The third proportional to 785,995 and 1,600,894 is: 3,260,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,995 : 1,600,894 = 1,600,894 : x
  2. Step 2: Convert to fraction form
    785,995/1,600,894 = 1,600,894/x
  3. Step 3: Cross multiply
    785,995x = 1,600,894 × 1,600,894
  4. Step 4: Simplify right side
    785,995x = 2,562,861,599,236
  5. Step 5: Solve for x
    x = 2,562,861,599,236/785,995
  6. Step 6: Final answer
    x = 3,260,658.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.