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Finding the Third Proportional to 2,782,401.75 and 4,426,076.25

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Solution

The third proportional to 2,782,401.75 and 4,426,076.25 is: 7,040,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,401.75 : 4,426,076.25 = 4,426,076.25 : x
  2. Step 2: Convert to fraction form
    2,782,401.75/4,426,076.25 = 4,426,076.25/x
  3. Step 3: Cross multiply
    2,782,401.75x = 4,426,076.25 × 4,426,076.25
  4. Step 4: Simplify right side
    2,782,401.75x = 19,590,150,970,814.06
  5. Step 5: Solve for x
    x = 19,590,150,970,814.06/2,782,401.75
  6. Step 6: Final answer
    x = 7,040,734.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.