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Finding the Third Proportional to 3,356,364 and 4,971,601

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Solution

The third proportional to 3,356,364 and 4,971,601 is: 7,364,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356,364 : 4,971,601 = 4,971,601 : x
  2. Step 2: Convert to fraction form
    3,356,364/4,971,601 = 4,971,601/x
  3. Step 3: Cross multiply
    3,356,364x = 4,971,601 × 4,971,601
  4. Step 4: Simplify right side
    3,356,364x = 24,716,816,503,201
  5. Step 5: Solve for x
    x = 24,716,816,503,201/3,356,364
  6. Step 6: Final answer
    x = 7,364,164.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.