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Finding the Third Proportional to 857,877 and 1,848,716.63

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Solution

The third proportional to 857,877 and 1,848,716.63 is: 3,983,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,877 : 1,848,716.63 = 1,848,716.63 : x
  2. Step 2: Convert to fraction form
    857,877/1,848,716.63 = 1,848,716.63/x
  3. Step 3: Cross multiply
    857,877x = 1,848,716.63 × 1,848,716.63
  4. Step 4: Simplify right side
    857,877x = 3,417,753,159,551.39
  5. Step 5: Solve for x
    x = 3,417,753,159,551.39/857,877
  6. Step 6: Final answer
    x = 3,983,966.42

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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.