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Finding the Third Proportional to 540,990 and 1,175,292

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Solution

The third proportional to 540,990 and 1,175,292 is: 2,553,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,990 : 1,175,292 = 1,175,292 : x
  2. Step 2: Convert to fraction form
    540,990/1,175,292 = 1,175,292/x
  3. Step 3: Cross multiply
    540,990x = 1,175,292 × 1,175,292
  4. Step 4: Simplify right side
    540,990x = 1,381,311,285,264
  5. Step 5: Solve for x
    x = 1,381,311,285,264/540,990
  6. Step 6: Final answer
    x = 2,553,302.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.