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Finding the Third Proportional to 612,020 and 1,325,716

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Solution

The third proportional to 612,020 and 1,325,716 is: 2,871,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,020 : 1,325,716 = 1,325,716 : x
  2. Step 2: Convert to fraction form
    612,020/1,325,716 = 1,325,716/x
  3. Step 3: Cross multiply
    612,020x = 1,325,716 × 1,325,716
  4. Step 4: Simplify right side
    612,020x = 1,757,522,912,656
  5. Step 5: Solve for x
    x = 1,757,522,912,656/612,020
  6. Step 6: Final answer
    x = 2,871,675.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.