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Finding the Third Proportional to 537,228 and 1,169,352

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Solution

The third proportional to 537,228 and 1,169,352 is: 2,545,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,228 : 1,169,352 = 1,169,352 : x
  2. Step 2: Convert to fraction form
    537,228/1,169,352 = 1,169,352/x
  3. Step 3: Cross multiply
    537,228x = 1,169,352 × 1,169,352
  4. Step 4: Simplify right side
    537,228x = 1,367,384,099,904
  5. Step 5: Solve for x
    x = 1,367,384,099,904/537,228
  6. Step 6: Final answer
    x = 2,545,258.44

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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.