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Finding the Third Proportional to 774,400.50 and 1,691,685

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Solution

The third proportional to 774,400.50 and 1,691,685 is: 3,695,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,400.50 : 1,691,685 = 1,691,685 : x
  2. Step 2: Convert to fraction form
    774,400.50/1,691,685 = 1,691,685/x
  3. Step 3: Cross multiply
    774,400.50x = 1,691,685 × 1,691,685
  4. Step 4: Simplify right side
    774,400.50x = 2,861,798,139,225
  5. Step 5: Solve for x
    x = 2,861,798,139,225/774,400.50
  6. Step 6: Final answer
    x = 3,695,501.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.