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Finding the Third Proportional to 874,827 and 1,351,003.50

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Solution

The third proportional to 874,827 and 1,351,003.50 is: 2,086,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,827 : 1,351,003.50 = 1,351,003.50 : x
  2. Step 2: Convert to fraction form
    874,827/1,351,003.50 = 1,351,003.50/x
  3. Step 3: Cross multiply
    874,827x = 1,351,003.50 × 1,351,003.50
  4. Step 4: Simplify right side
    874,827x = 1,825,210,457,012.25
  5. Step 5: Solve for x
    x = 1,825,210,457,012.25/874,827
  6. Step 6: Final answer
    x = 2,086,367.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.