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Finding the Third Proportional to 1,131,454 and 2,462,167

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Solution

The third proportional to 1,131,454 and 2,462,167 is: 5,357,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,454 : 2,462,167 = 2,462,167 : x
  2. Step 2: Convert to fraction form
    1,131,454/2,462,167 = 2,462,167/x
  3. Step 3: Cross multiply
    1,131,454x = 2,462,167 × 2,462,167
  4. Step 4: Simplify right side
    1,131,454x = 6,062,266,335,889
  5. Step 5: Solve for x
    x = 6,062,266,335,889/1,131,454
  6. Step 6: Final answer
    x = 5,357,943.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.