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Finding the Third Proportional to 4,204,062 and 6,284,197.69

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Solution

The third proportional to 4,204,062 and 6,284,197.69 is: 9,393,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204,062 : 6,284,197.69 = 6,284,197.69 : x
  2. Step 2: Convert to fraction form
    4,204,062/6,284,197.69 = 6,284,197.69/x
  3. Step 3: Cross multiply
    4,204,062x = 6,284,197.69 × 6,284,197.69
  4. Step 4: Simplify right side
    4,204,062x = 39,491,140,575,580.34
  5. Step 5: Solve for x
    x = 39,491,140,575,580.34/4,204,062
  6. Step 6: Final answer
    x = 9,393,567.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.