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Finding the Third Proportional to 455,566 and 967,191

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Solution

The third proportional to 455,566 and 967,191 is: 2,053,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,566 : 967,191 = 967,191 : x
  2. Step 2: Convert to fraction form
    455,566/967,191 = 967,191/x
  3. Step 3: Cross multiply
    455,566x = 967,191 × 967,191
  4. Step 4: Simplify right side
    455,566x = 935,458,430,481
  5. Step 5: Solve for x
    x = 935,458,430,481/455,566
  6. Step 6: Final answer
    x = 2,053,398.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.