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Finding the Third Proportional to 3,194,071 and 4,829,216

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Solution

The third proportional to 3,194,071 and 4,829,216 is: 7,301,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,071 : 4,829,216 = 4,829,216 : x
  2. Step 2: Convert to fraction form
    3,194,071/4,829,216 = 4,829,216/x
  3. Step 3: Cross multiply
    3,194,071x = 4,829,216 × 4,829,216
  4. Step 4: Simplify right side
    3,194,071x = 23,321,327,174,656
  5. Step 5: Solve for x
    x = 23,321,327,174,656/3,194,071
  6. Step 6: Final answer
    x = 7,301,442.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.