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Finding the Third Proportional to 778,204.50 and 1,704,036

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Solution

The third proportional to 778,204.50 and 1,704,036 is: 3,731,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,204.50 : 1,704,036 = 1,704,036 : x
  2. Step 2: Convert to fraction form
    778,204.50/1,704,036 = 1,704,036/x
  3. Step 3: Cross multiply
    778,204.50x = 1,704,036 × 1,704,036
  4. Step 4: Simplify right side
    778,204.50x = 2,903,738,689,296
  5. Step 5: Solve for x
    x = 2,903,738,689,296/778,204.50
  6. Step 6: Final answer
    x = 3,731,331.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.