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Finding the Third Proportional to 501,786 and 1,082,304

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Solution

The third proportional to 501,786 and 1,082,304 is: 2,334,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,786 : 1,082,304 = 1,082,304 : x
  2. Step 2: Convert to fraction form
    501,786/1,082,304 = 1,082,304/x
  3. Step 3: Cross multiply
    501,786x = 1,082,304 × 1,082,304
  4. Step 4: Simplify right side
    501,786x = 1,171,381,948,416
  5. Step 5: Solve for x
    x = 1,171,381,948,416/501,786
  6. Step 6: Final answer
    x = 2,334,425.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.