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Finding the Third Proportional to 1,295,380 and 1,961,142

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Solution

The third proportional to 1,295,380 and 1,961,142 is: 2,969,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,380 : 1,961,142 = 1,961,142 : x
  2. Step 2: Convert to fraction form
    1,295,380/1,961,142 = 1,961,142/x
  3. Step 3: Cross multiply
    1,295,380x = 1,961,142 × 1,961,142
  4. Step 4: Simplify right side
    1,295,380x = 3,846,077,944,164
  5. Step 5: Solve for x
    x = 3,846,077,944,164/1,295,380
  6. Step 6: Final answer
    x = 2,969,073.12

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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.