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Finding the Third Proportional to 776,205 and 1,689,093

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Solution

The third proportional to 776,205 and 1,689,093 is: 3,675,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,205 : 1,689,093 = 1,689,093 : x
  2. Step 2: Convert to fraction form
    776,205/1,689,093 = 1,689,093/x
  3. Step 3: Cross multiply
    776,205x = 1,689,093 × 1,689,093
  4. Step 4: Simplify right side
    776,205x = 2,853,035,162,649
  5. Step 5: Solve for x
    x = 2,853,035,162,649/776,205
  6. Step 6: Final answer
    x = 3,675,620.70

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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.