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Finding the Third Proportional to 768,230 and 1,019,415

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Solution

The third proportional to 768,230 and 1,019,415 is: 1,352,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,230 : 1,019,415 = 1,019,415 : x
  2. Step 2: Convert to fraction form
    768,230/1,019,415 = 1,019,415/x
  3. Step 3: Cross multiply
    768,230x = 1,019,415 × 1,019,415
  4. Step 4: Simplify right side
    768,230x = 1,039,206,942,225
  5. Step 5: Solve for x
    x = 1,039,206,942,225/768,230
  6. Step 6: Final answer
    x = 1,352,728.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.