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Finding the Third Proportional to 1,299,658 and 2,898,150

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Solution

The third proportional to 1,299,658 and 2,898,150 is: 6,462,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,658 : 2,898,150 = 2,898,150 : x
  2. Step 2: Convert to fraction form
    1,299,658/2,898,150 = 2,898,150/x
  3. Step 3: Cross multiply
    1,299,658x = 2,898,150 × 2,898,150
  4. Step 4: Simplify right side
    1,299,658x = 8,399,273,422,500
  5. Step 5: Solve for x
    x = 8,399,273,422,500/1,299,658
  6. Step 6: Final answer
    x = 6,462,679.74

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.