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Finding the Third Proportional to 527,856 and 1,173,480

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Solution

The third proportional to 527,856 and 1,173,480 is: 2,608,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,856 : 1,173,480 = 1,173,480 : x
  2. Step 2: Convert to fraction form
    527,856/1,173,480 = 1,173,480/x
  3. Step 3: Cross multiply
    527,856x = 1,173,480 × 1,173,480
  4. Step 4: Simplify right side
    527,856x = 1,377,055,310,400
  5. Step 5: Solve for x
    x = 1,377,055,310,400/527,856
  6. Step 6: Final answer
    x = 2,608,770.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.