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Finding the Third Proportional to 537,920 and 1,170,460

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Solution

The third proportional to 537,920 and 1,170,460 is: 2,546,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,920 : 1,170,460 = 1,170,460 : x
  2. Step 2: Convert to fraction form
    537,920/1,170,460 = 1,170,460/x
  3. Step 3: Cross multiply
    537,920x = 1,170,460 × 1,170,460
  4. Step 4: Simplify right side
    537,920x = 1,369,976,611,600
  5. Step 5: Solve for x
    x = 1,369,976,611,600/537,920
  6. Step 6: Final answer
    x = 2,546,803.64

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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.