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Finding the Third Proportional to 4,731,210 and 7,412,175

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Solution

The third proportional to 4,731,210 and 7,412,175 is: 11,612,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731,210 : 7,412,175 = 7,412,175 : x
  2. Step 2: Convert to fraction form
    4,731,210/7,412,175 = 7,412,175/x
  3. Step 3: Cross multiply
    4,731,210x = 7,412,175 × 7,412,175
  4. Step 4: Simplify right side
    4,731,210x = 54,940,338,230,625
  5. Step 5: Solve for x
    x = 54,940,338,230,625/4,731,210
  6. Step 6: Final answer
    x = 11,612,322.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.