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Finding the Third Proportional to 427,004 and 919,984

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Solution

The third proportional to 427,004 and 919,984 is: 1,982,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,004 : 919,984 = 919,984 : x
  2. Step 2: Convert to fraction form
    427,004/919,984 = 919,984/x
  3. Step 3: Cross multiply
    427,004x = 919,984 × 919,984
  4. Step 4: Simplify right side
    427,004x = 846,370,560,256
  5. Step 5: Solve for x
    x = 846,370,560,256/427,004
  6. Step 6: Final answer
    x = 1,982,113.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.