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Finding the Third Proportional to 3,023,835 and 4,682,010.75

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Solution

The third proportional to 3,023,835 and 4,682,010.75 is: 7,249,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,835 : 4,682,010.75 = 4,682,010.75 : x
  2. Step 2: Convert to fraction form
    3,023,835/4,682,010.75 = 4,682,010.75/x
  3. Step 3: Cross multiply
    3,023,835x = 4,682,010.75 × 4,682,010.75
  4. Step 4: Simplify right side
    3,023,835x = 21,921,224,663,115.56
  5. Step 5: Solve for x
    x = 21,921,224,663,115.56/3,023,835
  6. Step 6: Final answer
    x = 7,249,477.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.