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Finding the Third Proportional to 851,584 and 1,859,912

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Solution

The third proportional to 851,584 and 1,859,912 is: 4,062,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,584 : 1,859,912 = 1,859,912 : x
  2. Step 2: Convert to fraction form
    851,584/1,859,912 = 1,859,912/x
  3. Step 3: Cross multiply
    851,584x = 1,859,912 × 1,859,912
  4. Step 4: Simplify right side
    851,584x = 3,459,272,647,744
  5. Step 5: Solve for x
    x = 3,459,272,647,744/851,584
  6. Step 6: Final answer
    x = 4,062,162.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.