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Finding the Third Proportional to 840,016 and 1,843,340

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Solution

The third proportional to 840,016 and 1,843,340 is: 4,045,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,016 : 1,843,340 = 1,843,340 : x
  2. Step 2: Convert to fraction form
    840,016/1,843,340 = 1,843,340/x
  3. Step 3: Cross multiply
    840,016x = 1,843,340 × 1,843,340
  4. Step 4: Simplify right side
    840,016x = 3,397,902,355,600
  5. Step 5: Solve for x
    x = 3,397,902,355,600/840,016
  6. Step 6: Final answer
    x = 4,045,044.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.