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Finding the Third Proportional to 450,007 and 950,596

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Solution

The third proportional to 450,007 and 950,596 is: 2,008,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,007 : 950,596 = 950,596 : x
  2. Step 2: Convert to fraction form
    450,007/950,596 = 950,596/x
  3. Step 3: Cross multiply
    450,007x = 950,596 × 950,596
  4. Step 4: Simplify right side
    450,007x = 903,632,755,216
  5. Step 5: Solve for x
    x = 903,632,755,216/450,007
  6. Step 6: Final answer
    x = 2,008,041.55

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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.