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Finding the Third Proportional to 3,211,524 and 4,696,716

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Solution

The third proportional to 3,211,524 and 4,696,716 is: 6,868,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,524 : 4,696,716 = 4,696,716 : x
  2. Step 2: Convert to fraction form
    3,211,524/4,696,716 = 4,696,716/x
  3. Step 3: Cross multiply
    3,211,524x = 4,696,716 × 4,696,716
  4. Step 4: Simplify right side
    3,211,524x = 22,059,141,184,656
  5. Step 5: Solve for x
    x = 22,059,141,184,656/3,211,524
  6. Step 6: Final answer
    x = 6,868,745.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.