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Finding the Third Proportional to 3,256,137.75 and 4,786,648.50

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Solution

The third proportional to 3,256,137.75 and 4,786,648.50 is: 7,036,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,137.75 : 4,786,648.50 = 4,786,648.50 : x
  2. Step 2: Convert to fraction form
    3,256,137.75/4,786,648.50 = 4,786,648.50/x
  3. Step 3: Cross multiply
    3,256,137.75x = 4,786,648.50 × 4,786,648.50
  4. Step 4: Simplify right side
    3,256,137.75x = 22,912,003,862,552.25
  5. Step 5: Solve for x
    x = 22,912,003,862,552.25/3,256,137.75
  6. Step 6: Final answer
    x = 7,036,558.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.