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Finding the Third Proportional to 537,452 and 1,173,144

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Solution

The third proportional to 537,452 and 1,173,144 is: 2,560,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,452 : 1,173,144 = 1,173,144 : x
  2. Step 2: Convert to fraction form
    537,452/1,173,144 = 1,173,144/x
  3. Step 3: Cross multiply
    537,452x = 1,173,144 × 1,173,144
  4. Step 4: Simplify right side
    537,452x = 1,376,266,844,736
  5. Step 5: Solve for x
    x = 1,376,266,844,736/537,452
  6. Step 6: Final answer
    x = 2,560,725.13

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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.