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Finding the Third Proportional to 544,653 and 1,196,795

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Solution

The third proportional to 544,653 and 1,196,795 is: 2,629,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,653 : 1,196,795 = 1,196,795 : x
  2. Step 2: Convert to fraction form
    544,653/1,196,795 = 1,196,795/x
  3. Step 3: Cross multiply
    544,653x = 1,196,795 × 1,196,795
  4. Step 4: Simplify right side
    544,653x = 1,432,318,272,025
  5. Step 5: Solve for x
    x = 1,432,318,272,025/544,653
  6. Step 6: Final answer
    x = 2,629,781.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.