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Finding the Third Proportional to 427,780 and 929,458

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Solution

The third proportional to 427,780 and 929,458 is: 2,019,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,780 : 929,458 = 929,458 : x
  2. Step 2: Convert to fraction form
    427,780/929,458 = 929,458/x
  3. Step 3: Cross multiply
    427,780x = 929,458 × 929,458
  4. Step 4: Simplify right side
    427,780x = 863,892,173,764
  5. Step 5: Solve for x
    x = 863,892,173,764/427,780
  6. Step 6: Final answer
    x = 2,019,477.71

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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.