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Finding the Third Proportional to 611,922 and 1,325,538

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Solution

The third proportional to 611,922 and 1,325,538 is: 2,871,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,922 : 1,325,538 = 1,325,538 : x
  2. Step 2: Convert to fraction form
    611,922/1,325,538 = 1,325,538/x
  3. Step 3: Cross multiply
    611,922x = 1,325,538 × 1,325,538
  4. Step 4: Simplify right side
    611,922x = 1,757,050,989,444
  5. Step 5: Solve for x
    x = 1,757,050,989,444/611,922
  6. Step 6: Final answer
    x = 2,871,364.31

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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.