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Finding the Third Proportional to 683,032 and 1,097,446

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Solution

The third proportional to 683,032 and 1,097,446 is: 1,763,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,032 : 1,097,446 = 1,097,446 : x
  2. Step 2: Convert to fraction form
    683,032/1,097,446 = 1,097,446/x
  3. Step 3: Cross multiply
    683,032x = 1,097,446 × 1,097,446
  4. Step 4: Simplify right side
    683,032x = 1,204,387,722,916
  5. Step 5: Solve for x
    x = 1,204,387,722,916/683,032
  6. Step 6: Final answer
    x = 1,763,296.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.