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Finding the Third Proportional to 612,012 and 1,325,700

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Solution

The third proportional to 612,012 and 1,325,700 is: 2,871,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,012 : 1,325,700 = 1,325,700 : x
  2. Step 2: Convert to fraction form
    612,012/1,325,700 = 1,325,700/x
  3. Step 3: Cross multiply
    612,012x = 1,325,700 × 1,325,700
  4. Step 4: Simplify right side
    612,012x = 1,757,480,490,000
  5. Step 5: Solve for x
    x = 1,757,480,490,000/612,012
  6. Step 6: Final answer
    x = 2,871,643.84

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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.