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Finding the Third Proportional to 757,140 and 1,667,910

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Solution

The third proportional to 757,140 and 1,667,910 is: 3,674,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,140 : 1,667,910 = 1,667,910 : x
  2. Step 2: Convert to fraction form
    757,140/1,667,910 = 1,667,910/x
  3. Step 3: Cross multiply
    757,140x = 1,667,910 × 1,667,910
  4. Step 4: Simplify right side
    757,140x = 2,781,923,768,100
  5. Step 5: Solve for x
    x = 2,781,923,768,100/757,140
  6. Step 6: Final answer
    x = 3,674,252.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.