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Finding the Third Proportional to 1,297,843 and 2,014,785

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Solution

The third proportional to 1,297,843 and 2,014,785 is: 3,127,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,843 : 2,014,785 = 2,014,785 : x
  2. Step 2: Convert to fraction form
    1,297,843/2,014,785 = 2,014,785/x
  3. Step 3: Cross multiply
    1,297,843x = 2,014,785 × 2,014,785
  4. Step 4: Simplify right side
    1,297,843x = 4,059,358,596,225
  5. Step 5: Solve for x
    x = 4,059,358,596,225/1,297,843
  6. Step 6: Final answer
    x = 3,127,773.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.