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Finding the Third Proportional to 1,782,054 and 2,574,761

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Solution

The third proportional to 1,782,054 and 2,574,761 is: 3,720,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,054 : 2,574,761 = 2,574,761 : x
  2. Step 2: Convert to fraction form
    1,782,054/2,574,761 = 2,574,761/x
  3. Step 3: Cross multiply
    1,782,054x = 2,574,761 × 2,574,761
  4. Step 4: Simplify right side
    1,782,054x = 6,629,394,207,121
  5. Step 5: Solve for x
    x = 6,629,394,207,121/1,782,054
  6. Step 6: Final answer
    x = 3,720,086.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.