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Finding the Third Proportional to 779,336.50 and 1,677,041

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Solution

The third proportional to 779,336.50 and 1,677,041 is: 3,608,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,336.50 : 1,677,041 = 1,677,041 : x
  2. Step 2: Convert to fraction form
    779,336.50/1,677,041 = 1,677,041/x
  3. Step 3: Cross multiply
    779,336.50x = 1,677,041 × 1,677,041
  4. Step 4: Simplify right side
    779,336.50x = 2,812,466,515,681
  5. Step 5: Solve for x
    x = 2,812,466,515,681/779,336.50
  6. Step 6: Final answer
    x = 3,608,796.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.