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Finding the Third Proportional to 950,816 and 2,088,232

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Solution

The third proportional to 950,816 and 2,088,232 is: 4,586,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,816 : 2,088,232 = 2,088,232 : x
  2. Step 2: Convert to fraction form
    950,816/2,088,232 = 2,088,232/x
  3. Step 3: Cross multiply
    950,816x = 2,088,232 × 2,088,232
  4. Step 4: Simplify right side
    950,816x = 4,360,712,885,824
  5. Step 5: Solve for x
    x = 4,360,712,885,824/950,816
  6. Step 6: Final answer
    x = 4,586,284.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.