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Finding the Third Proportional to 520,705 and 1,082,875

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Solution

The third proportional to 520,705 and 1,082,875 is: 2,251,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,705 : 1,082,875 = 1,082,875 : x
  2. Step 2: Convert to fraction form
    520,705/1,082,875 = 1,082,875/x
  3. Step 3: Cross multiply
    520,705x = 1,082,875 × 1,082,875
  4. Step 4: Simplify right side
    520,705x = 1,172,618,265,625
  5. Step 5: Solve for x
    x = 1,172,618,265,625/520,705
  6. Step 6: Final answer
    x = 2,251,981.96

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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.