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Finding the Third Proportional to 902,922 and 1,880,578.50

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Solution

The third proportional to 902,922 and 1,880,578.50 is: 3,916,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,922 : 1,880,578.50 = 1,880,578.50 : x
  2. Step 2: Convert to fraction form
    902,922/1,880,578.50 = 1,880,578.50/x
  3. Step 3: Cross multiply
    902,922x = 1,880,578.50 × 1,880,578.50
  4. Step 4: Simplify right side
    902,922x = 3,536,575,494,662.25
  5. Step 5: Solve for x
    x = 3,536,575,494,662.25/902,922
  6. Step 6: Final answer
    x = 3,916,811.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.