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Finding the Third Proportional to 427,784 and 929,468

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Solution

The third proportional to 427,784 and 929,468 is: 2,019,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,784 : 929,468 = 929,468 : x
  2. Step 2: Convert to fraction form
    427,784/929,468 = 929,468/x
  3. Step 3: Cross multiply
    427,784x = 929,468 × 929,468
  4. Step 4: Simplify right side
    427,784x = 863,910,763,024
  5. Step 5: Solve for x
    x = 863,910,763,024/427,784
  6. Step 6: Final answer
    x = 2,019,502.28

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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.