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Finding the Third Proportional to 537,740 and 1,170,311

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Solution

The third proportional to 537,740 and 1,170,311 is: 2,547,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,740 : 1,170,311 = 1,170,311 : x
  2. Step 2: Convert to fraction form
    537,740/1,170,311 = 1,170,311/x
  3. Step 3: Cross multiply
    537,740x = 1,170,311 × 1,170,311
  4. Step 4: Simplify right side
    537,740x = 1,369,627,836,721
  5. Step 5: Solve for x
    x = 1,369,627,836,721/537,740
  6. Step 6: Final answer
    x = 2,547,007.54

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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.