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Finding the Third Proportional to 857,116 and 1,843,224

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Solution

The third proportional to 857,116 and 1,843,224 is: 3,963,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,116 : 1,843,224 = 1,843,224 : x
  2. Step 2: Convert to fraction form
    857,116/1,843,224 = 1,843,224/x
  3. Step 3: Cross multiply
    857,116x = 1,843,224 × 1,843,224
  4. Step 4: Simplify right side
    857,116x = 3,397,474,714,176
  5. Step 5: Solve for x
    x = 3,397,474,714,176/857,116
  6. Step 6: Final answer
    x = 3,963,844.70

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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.