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Finding the Third Proportional to 673,832 and 1,009,704

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Solution

The third proportional to 673,832 and 1,009,704 is: 1,512,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,832 : 1,009,704 = 1,009,704 : x
  2. Step 2: Convert to fraction form
    673,832/1,009,704 = 1,009,704/x
  3. Step 3: Cross multiply
    673,832x = 1,009,704 × 1,009,704
  4. Step 4: Simplify right side
    673,832x = 1,019,502,167,616
  5. Step 5: Solve for x
    x = 1,019,502,167,616/673,832
  6. Step 6: Final answer
    x = 1,512,991.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.