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Finding the Third Proportional to 611,960 and 1,325,584

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Solution

The third proportional to 611,960 and 1,325,584 is: 2,871,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,960 : 1,325,584 = 1,325,584 : x
  2. Step 2: Convert to fraction form
    611,960/1,325,584 = 1,325,584/x
  3. Step 3: Cross multiply
    611,960x = 1,325,584 × 1,325,584
  4. Step 4: Simplify right side
    611,960x = 1,757,172,941,056
  5. Step 5: Solve for x
    x = 1,757,172,941,056/611,960
  6. Step 6: Final answer
    x = 2,871,385.29

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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.