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Finding the Third Proportional to 651,353.25 and 1,414,113

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Solution

The third proportional to 651,353.25 and 1,414,113 is: 3,070,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,353.25 : 1,414,113 = 1,414,113 : x
  2. Step 2: Convert to fraction form
    651,353.25/1,414,113 = 1,414,113/x
  3. Step 3: Cross multiply
    651,353.25x = 1,414,113 × 1,414,113
  4. Step 4: Simplify right side
    651,353.25x = 1,999,715,576,769
  5. Step 5: Solve for x
    x = 1,999,715,576,769/651,353.25
  6. Step 6: Final answer
    x = 3,070,093.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.