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Finding the Third Proportional to 427,782 and 929,462

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Solution

The third proportional to 427,782 and 929,462 is: 2,019,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,782 : 929,462 = 929,462 : x
  2. Step 2: Convert to fraction form
    427,782/929,462 = 929,462/x
  3. Step 3: Cross multiply
    427,782x = 929,462 × 929,462
  4. Step 4: Simplify right side
    427,782x = 863,899,609,444
  5. Step 5: Solve for x
    x = 863,899,609,444/427,782
  6. Step 6: Final answer
    x = 2,019,485.65

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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.