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Finding the Third Proportional to 857,741.91 and 1,848,339

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Solution

The third proportional to 857,741.91 and 1,848,339 is: 3,982,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,741.91 : 1,848,339 = 1,848,339 : x
  2. Step 2: Convert to fraction form
    857,741.91/1,848,339 = 1,848,339/x
  3. Step 3: Cross multiply
    857,741.91x = 1,848,339 × 1,848,339
  4. Step 4: Simplify right side
    857,741.91x = 3,416,357,058,921
  5. Step 5: Solve for x
    x = 3,416,357,058,921/857,741.91
  6. Step 6: Final answer
    x = 3,982,966.24

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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.