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Finding the Third Proportional to 1,677,195.38 and 3,683,880

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Solution

The third proportional to 1,677,195.38 and 3,683,880 is: 8,091,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,195.38 : 3,683,880 = 3,683,880 : x
  2. Step 2: Convert to fraction form
    1,677,195.38/3,683,880 = 3,683,880/x
  3. Step 3: Cross multiply
    1,677,195.38x = 3,683,880 × 3,683,880
  4. Step 4: Simplify right side
    1,677,195.38x = 13,570,971,854,400
  5. Step 5: Solve for x
    x = 13,570,971,854,400/1,677,195.38
  6. Step 6: Final answer
    x = 8,091,467.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.