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Finding the Third Proportional to 789,785 and 1,540,203

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Solution

The third proportional to 789,785 and 1,540,203 is: 3,003,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,785 : 1,540,203 = 1,540,203 : x
  2. Step 2: Convert to fraction form
    789,785/1,540,203 = 1,540,203/x
  3. Step 3: Cross multiply
    789,785x = 1,540,203 × 1,540,203
  4. Step 4: Simplify right side
    789,785x = 2,372,225,281,209
  5. Step 5: Solve for x
    x = 2,372,225,281,209/789,785
  6. Step 6: Final answer
    x = 3,003,634.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.