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Finding the Third Proportional to 526,194 and 847,436

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Solution

The third proportional to 526,194 and 847,436 is: 1,364,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,194 : 847,436 = 847,436 : x
  2. Step 2: Convert to fraction form
    526,194/847,436 = 847,436/x
  3. Step 3: Cross multiply
    526,194x = 847,436 × 847,436
  4. Step 4: Simplify right side
    526,194x = 718,147,774,096
  5. Step 5: Solve for x
    x = 718,147,774,096/526,194
  6. Step 6: Final answer
    x = 1,364,796.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.