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Finding the Third Proportional to 542,865 and 1,192,803

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Solution

The third proportional to 542,865 and 1,192,803 is: 2,620,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,865 : 1,192,803 = 1,192,803 : x
  2. Step 2: Convert to fraction form
    542,865/1,192,803 = 1,192,803/x
  3. Step 3: Cross multiply
    542,865x = 1,192,803 × 1,192,803
  4. Step 4: Simplify right side
    542,865x = 1,422,778,996,809
  5. Step 5: Solve for x
    x = 1,422,778,996,809/542,865
  6. Step 6: Final answer
    x = 2,620,870.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.