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Finding the Third Proportional to 531,876 and 1,138,495.50

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Solution

The third proportional to 531,876 and 1,138,495.50 is: 2,436,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,876 : 1,138,495.50 = 1,138,495.50 : x
  2. Step 2: Convert to fraction form
    531,876/1,138,495.50 = 1,138,495.50/x
  3. Step 3: Cross multiply
    531,876x = 1,138,495.50 × 1,138,495.50
  4. Step 4: Simplify right side
    531,876x = 1,296,172,003,520.25
  5. Step 5: Solve for x
    x = 1,296,172,003,520.25/531,876
  6. Step 6: Final answer
    x = 2,436,981.56

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