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Finding the Third Proportional to 852,954 and 1,824,006

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Solution

The third proportional to 852,954 and 1,824,006 is: 3,900,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,954 : 1,824,006 = 1,824,006 : x
  2. Step 2: Convert to fraction form
    852,954/1,824,006 = 1,824,006/x
  3. Step 3: Cross multiply
    852,954x = 1,824,006 × 1,824,006
  4. Step 4: Simplify right side
    852,954x = 3,326,997,888,036
  5. Step 5: Solve for x
    x = 3,326,997,888,036/852,954
  6. Step 6: Final answer
    x = 3,900,559.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.