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Finding the Third Proportional to 789,096 and 1,704,324

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Solution

The third proportional to 789,096 and 1,704,324 is: 3,681,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,096 : 1,704,324 = 1,704,324 : x
  2. Step 2: Convert to fraction form
    789,096/1,704,324 = 1,704,324/x
  3. Step 3: Cross multiply
    789,096x = 1,704,324 × 1,704,324
  4. Step 4: Simplify right side
    789,096x = 2,904,720,296,976
  5. Step 5: Solve for x
    x = 2,904,720,296,976/789,096
  6. Step 6: Final answer
    x = 3,681,073.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.