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Finding the Third Proportional to 1,202,945 and 2,602,234

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Solution

The third proportional to 1,202,945 and 2,602,234 is: 5,629,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,945 : 2,602,234 = 2,602,234 : x
  2. Step 2: Convert to fraction form
    1,202,945/2,602,234 = 2,602,234/x
  3. Step 3: Cross multiply
    1,202,945x = 2,602,234 × 2,602,234
  4. Step 4: Simplify right side
    1,202,945x = 6,771,621,790,756
  5. Step 5: Solve for x
    x = 6,771,621,790,756/1,202,945
  6. Step 6: Final answer
    x = 5,629,203.16

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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.