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Finding the Third Proportional to 1,165,304 and 2,542,456

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Solution

The third proportional to 1,165,304 and 2,542,456 is: 5,547,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,304 : 2,542,456 = 2,542,456 : x
  2. Step 2: Convert to fraction form
    1,165,304/2,542,456 = 2,542,456/x
  3. Step 3: Cross multiply
    1,165,304x = 2,542,456 × 2,542,456
  4. Step 4: Simplify right side
    1,165,304x = 6,464,082,511,936
  5. Step 5: Solve for x
    x = 6,464,082,511,936/1,165,304
  6. Step 6: Final answer
    x = 5,547,121.19

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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.