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Finding the Third Proportional to 1,036,744 and 1,692,900

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Solution

The third proportional to 1,036,744 and 1,692,900 is: 2,764,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,744 : 1,692,900 = 1,692,900 : x
  2. Step 2: Convert to fraction form
    1,036,744/1,692,900 = 1,692,900/x
  3. Step 3: Cross multiply
    1,036,744x = 1,692,900 × 1,692,900
  4. Step 4: Simplify right side
    1,036,744x = 2,865,910,410,000
  5. Step 5: Solve for x
    x = 2,865,910,410,000/1,036,744
  6. Step 6: Final answer
    x = 2,764,337.59

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.