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Finding the Third Proportional to 527,806 and 1,173,388

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Solution

The third proportional to 527,806 and 1,173,388 is: 2,608,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,806 : 1,173,388 = 1,173,388 : x
  2. Step 2: Convert to fraction form
    527,806/1,173,388 = 1,173,388/x
  3. Step 3: Cross multiply
    527,806x = 1,173,388 × 1,173,388
  4. Step 4: Simplify right side
    527,806x = 1,376,839,398,544
  5. Step 5: Solve for x
    x = 1,376,839,398,544/527,806
  6. Step 6: Final answer
    x = 2,608,608.84

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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.