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Finding the Third Proportional to 535,778 and 1,146,125

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Solution

The third proportional to 535,778 and 1,146,125 is: 2,451,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,778 : 1,146,125 = 1,146,125 : x
  2. Step 2: Convert to fraction form
    535,778/1,146,125 = 1,146,125/x
  3. Step 3: Cross multiply
    535,778x = 1,146,125 × 1,146,125
  4. Step 4: Simplify right side
    535,778x = 1,313,602,515,625
  5. Step 5: Solve for x
    x = 1,313,602,515,625/535,778
  6. Step 6: Final answer
    x = 2,451,766.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.