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Finding the Third Proportional to 1,427,659 and 2,102,014

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Solution

The third proportional to 1,427,659 and 2,102,014 is: 3,094,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,659 : 2,102,014 = 2,102,014 : x
  2. Step 2: Convert to fraction form
    1,427,659/2,102,014 = 2,102,014/x
  3. Step 3: Cross multiply
    1,427,659x = 2,102,014 × 2,102,014
  4. Step 4: Simplify right side
    1,427,659x = 4,418,462,856,196
  5. Step 5: Solve for x
    x = 4,418,462,856,196/1,427,659
  6. Step 6: Final answer
    x = 3,094,900.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.