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Finding the Third Proportional to 859,815 and 1,846,476

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Solution

The third proportional to 859,815 and 1,846,476 is: 3,965,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,815 : 1,846,476 = 1,846,476 : x
  2. Step 2: Convert to fraction form
    859,815/1,846,476 = 1,846,476/x
  3. Step 3: Cross multiply
    859,815x = 1,846,476 × 1,846,476
  4. Step 4: Simplify right side
    859,815x = 3,409,473,618,576
  5. Step 5: Solve for x
    x = 3,409,473,618,576/859,815
  6. Step 6: Final answer
    x = 3,965,357.22

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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.