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Finding the Third Proportional to 531,873 and 1,138,488.75

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Solution

The third proportional to 531,873 and 1,138,488.75 is: 2,436,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,873 : 1,138,488.75 = 1,138,488.75 : x
  2. Step 2: Convert to fraction form
    531,873/1,138,488.75 = 1,138,488.75/x
  3. Step 3: Cross multiply
    531,873x = 1,138,488.75 × 1,138,488.75
  4. Step 4: Simplify right side
    531,873x = 1,296,156,633,876.56
  5. Step 5: Solve for x
    x = 1,296,156,633,876.56/531,873
  6. Step 6: Final answer
    x = 2,436,966.41

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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.