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Finding the Third Proportional to 537,687 and 1,173,198

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Solution

The third proportional to 537,687 and 1,173,198 is: 2,559,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,687 : 1,173,198 = 1,173,198 : x
  2. Step 2: Convert to fraction form
    537,687/1,173,198 = 1,173,198/x
  3. Step 3: Cross multiply
    537,687x = 1,173,198 × 1,173,198
  4. Step 4: Simplify right side
    537,687x = 1,376,393,547,204
  5. Step 5: Solve for x
    x = 1,376,393,547,204/537,687
  6. Step 6: Final answer
    x = 2,559,841.59

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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.