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Finding the Third Proportional to 3,263,462 and 4,700,361

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Solution

The third proportional to 3,263,462 and 4,700,361 is: 6,769,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,462 : 4,700,361 = 4,700,361 : x
  2. Step 2: Convert to fraction form
    3,263,462/4,700,361 = 4,700,361/x
  3. Step 3: Cross multiply
    3,263,462x = 4,700,361 × 4,700,361
  4. Step 4: Simplify right side
    3,263,462x = 22,093,393,530,321
  5. Step 5: Solve for x
    x = 22,093,393,530,321/3,263,462
  6. Step 6: Final answer
    x = 6,769,925.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.