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Finding the Third Proportional to 520,701.50 and 1,082,869

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Solution

The third proportional to 520,701.50 and 1,082,869 is: 2,251,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,701.50 : 1,082,869 = 1,082,869 : x
  2. Step 2: Convert to fraction form
    520,701.50/1,082,869 = 1,082,869/x
  3. Step 3: Cross multiply
    520,701.50x = 1,082,869 × 1,082,869
  4. Step 4: Simplify right side
    520,701.50x = 1,172,605,271,161
  5. Step 5: Solve for x
    x = 1,172,605,271,161/520,701.50
  6. Step 6: Final answer
    x = 2,251,972.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.