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Finding the Third Proportional to 1,300,121 and 2,000,926.75

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Solution

The third proportional to 1,300,121 and 2,000,926.75 is: 3,079,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,121 : 2,000,926.75 = 2,000,926.75 : x
  2. Step 2: Convert to fraction form
    1,300,121/2,000,926.75 = 2,000,926.75/x
  3. Step 3: Cross multiply
    1,300,121x = 2,000,926.75 × 2,000,926.75
  4. Step 4: Simplify right side
    1,300,121x = 4,003,707,858,865.56
  5. Step 5: Solve for x
    x = 4,003,707,858,865.56/1,300,121
  6. Step 6: Final answer
    x = 3,079,488.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.