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Finding the Third Proportional to 840,014 and 1,843,336

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Solution

The third proportional to 840,014 and 1,843,336 is: 4,045,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,014 : 1,843,336 = 1,843,336 : x
  2. Step 2: Convert to fraction form
    840,014/1,843,336 = 1,843,336/x
  3. Step 3: Cross multiply
    840,014x = 1,843,336 × 1,843,336
  4. Step 4: Simplify right side
    840,014x = 3,397,887,608,896
  5. Step 5: Solve for x
    x = 3,397,887,608,896/840,014
  6. Step 6: Final answer
    x = 4,045,036.88

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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.