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Finding the Third Proportional to 437,093 and 951,097

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Solution

The third proportional to 437,093 and 951,097 is: 2,069,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,093 : 951,097 = 951,097 : x
  2. Step 2: Convert to fraction form
    437,093/951,097 = 951,097/x
  3. Step 3: Cross multiply
    437,093x = 951,097 × 951,097
  4. Step 4: Simplify right side
    437,093x = 904,585,503,409
  5. Step 5: Solve for x
    x = 904,585,503,409/437,093
  6. Step 6: Final answer
    x = 2,069,549.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.