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Finding the Third Proportional to 757,142 and 1,667,914

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Solution

The third proportional to 757,142 and 1,667,914 is: 3,674,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,142 : 1,667,914 = 1,667,914 : x
  2. Step 2: Convert to fraction form
    757,142/1,667,914 = 1,667,914/x
  3. Step 3: Cross multiply
    757,142x = 1,667,914 × 1,667,914
  4. Step 4: Simplify right side
    757,142x = 2,781,937,111,396
  5. Step 5: Solve for x
    x = 2,781,937,111,396/757,142
  6. Step 6: Final answer
    x = 3,674,260.72

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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.