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Finding the Third Proportional to 857,273.63 and 1,843,580.25

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Solution

The third proportional to 857,273.63 and 1,843,580.25 is: 3,964,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,273.63 : 1,843,580.25 = 1,843,580.25 : x
  2. Step 2: Convert to fraction form
    857,273.63/1,843,580.25 = 1,843,580.25/x
  3. Step 3: Cross multiply
    857,273.63x = 1,843,580.25 × 1,843,580.25
  4. Step 4: Simplify right side
    857,273.63x = 3,398,788,138,190.06
  5. Step 5: Solve for x
    x = 3,398,788,138,190.06/857,273.63
  6. Step 6: Final answer
    x = 3,964,647.97

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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.