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Finding the Third Proportional to 428,004 and 903,744

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Solution

The third proportional to 428,004 and 903,744 is: 1,908,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,004 : 903,744 = 903,744 : x
  2. Step 2: Convert to fraction form
    428,004/903,744 = 903,744/x
  3. Step 3: Cross multiply
    428,004x = 903,744 × 903,744
  4. Step 4: Simplify right side
    428,004x = 816,753,217,536
  5. Step 5: Solve for x
    x = 816,753,217,536/428,004
  6. Step 6: Final answer
    x = 1,908,284.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.