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Finding the Third Proportional to 651,372 and 1,414,152

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Solution

The third proportional to 651,372 and 1,414,152 is: 3,070,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,372 : 1,414,152 = 1,414,152 : x
  2. Step 2: Convert to fraction form
    651,372/1,414,152 = 1,414,152/x
  3. Step 3: Cross multiply
    651,372x = 1,414,152 × 1,414,152
  4. Step 4: Simplify right side
    651,372x = 1,999,825,879,104
  5. Step 5: Solve for x
    x = 1,999,825,879,104/651,372
  6. Step 6: Final answer
    x = 3,070,174.77

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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.