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Finding the Third Proportional to 1,945,217 and 4,190,053

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Solution

The third proportional to 1,945,217 and 4,190,053 is: 9,025,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,217 : 4,190,053 = 4,190,053 : x
  2. Step 2: Convert to fraction form
    1,945,217/4,190,053 = 4,190,053/x
  3. Step 3: Cross multiply
    1,945,217x = 4,190,053 × 4,190,053
  4. Step 4: Simplify right side
    1,945,217x = 17,556,544,142,809
  5. Step 5: Solve for x
    x = 17,556,544,142,809/1,945,217
  6. Step 6: Final answer
    x = 9,025,493.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.