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Finding the Third Proportional to 1,294,686 and 2,846,340

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Solution

The third proportional to 1,294,686 and 2,846,340 is: 6,257,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,686 : 2,846,340 = 2,846,340 : x
  2. Step 2: Convert to fraction form
    1,294,686/2,846,340 = 2,846,340/x
  3. Step 3: Cross multiply
    1,294,686x = 2,846,340 × 2,846,340
  4. Step 4: Simplify right side
    1,294,686x = 8,101,651,395,600
  5. Step 5: Solve for x
    x = 8,101,651,395,600/1,294,686
  6. Step 6: Final answer
    x = 6,257,618.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.