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Finding the Third Proportional to 526,692 and 1,167,264

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Solution

The third proportional to 526,692 and 1,167,264 is: 2,586,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,692 : 1,167,264 = 1,167,264 : x
  2. Step 2: Convert to fraction form
    526,692/1,167,264 = 1,167,264/x
  3. Step 3: Cross multiply
    526,692x = 1,167,264 × 1,167,264
  4. Step 4: Simplify right side
    526,692x = 1,362,505,245,696
  5. Step 5: Solve for x
    x = 1,362,505,245,696/526,692
  6. Step 6: Final answer
    x = 2,586,910.84

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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.