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Finding the Third Proportional to 520,755 and 1,082,973

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Solution

The third proportional to 520,755 and 1,082,973 is: 2,252,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,755 : 1,082,973 = 1,082,973 : x
  2. Step 2: Convert to fraction form
    520,755/1,082,973 = 1,082,973/x
  3. Step 3: Cross multiply
    520,755x = 1,082,973 × 1,082,973
  4. Step 4: Simplify right side
    520,755x = 1,172,830,518,729
  5. Step 5: Solve for x
    x = 1,172,830,518,729/520,755
  6. Step 6: Final answer
    x = 2,252,173.32

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