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Finding the Third Proportional to 697,686 and 1,513,956

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Solution

The third proportional to 697,686 and 1,513,956 is: 3,285,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,686 : 1,513,956 = 1,513,956 : x
  2. Step 2: Convert to fraction form
    697,686/1,513,956 = 1,513,956/x
  3. Step 3: Cross multiply
    697,686x = 1,513,956 × 1,513,956
  4. Step 4: Simplify right side
    697,686x = 2,292,062,769,936
  5. Step 5: Solve for x
    x = 2,292,062,769,936/697,686
  6. Step 6: Final answer
    x = 3,285,235.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.