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Finding the Third Proportional to 948,384 and 2,054,160

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Solution

The third proportional to 948,384 and 2,054,160 is: 4,449,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,384 : 2,054,160 = 2,054,160 : x
  2. Step 2: Convert to fraction form
    948,384/2,054,160 = 2,054,160/x
  3. Step 3: Cross multiply
    948,384x = 2,054,160 × 2,054,160
  4. Step 4: Simplify right side
    948,384x = 4,219,573,305,600
  5. Step 5: Solve for x
    x = 4,219,573,305,600/948,384
  6. Step 6: Final answer
    x = 4,449,224.48

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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.