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Finding the Third Proportional to 1,703,007 and 3,670,397

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Solution

The third proportional to 1,703,007 and 3,670,397 is: 7,910,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,007 : 3,670,397 = 3,670,397 : x
  2. Step 2: Convert to fraction form
    1,703,007/3,670,397 = 3,670,397/x
  3. Step 3: Cross multiply
    1,703,007x = 3,670,397 × 3,670,397
  4. Step 4: Simplify right side
    1,703,007x = 13,471,814,137,609
  5. Step 5: Solve for x
    x = 13,471,814,137,609/1,703,007
  6. Step 6: Final answer
    x = 7,910,604.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.