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Finding the Third Proportional to 859,642 and 1,846,143

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Solution

The third proportional to 859,642 and 1,846,143 is: 3,964,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,642 : 1,846,143 = 1,846,143 : x
  2. Step 2: Convert to fraction form
    859,642/1,846,143 = 1,846,143/x
  3. Step 3: Cross multiply
    859,642x = 1,846,143 × 1,846,143
  4. Step 4: Simplify right side
    859,642x = 3,408,243,976,449
  5. Step 5: Solve for x
    x = 3,408,243,976,449/859,642
  6. Step 6: Final answer
    x = 3,964,724.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.