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Finding the Third Proportional to 544,617 and 1,196,748

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Solution

The third proportional to 544,617 and 1,196,748 is: 2,629,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,617 : 1,196,748 = 1,196,748 : x
  2. Step 2: Convert to fraction form
    544,617/1,196,748 = 1,196,748/x
  3. Step 3: Cross multiply
    544,617x = 1,196,748 × 1,196,748
  4. Step 4: Simplify right side
    544,617x = 1,432,205,775,504
  5. Step 5: Solve for x
    x = 1,432,205,775,504/544,617
  6. Step 6: Final answer
    x = 2,629,748.57

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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.