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Finding the Third Proportional to 1,053,052 and 2,053,615

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Solution

The third proportional to 1,053,052 and 2,053,615 is: 4,004,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,052 : 2,053,615 = 2,053,615 : x
  2. Step 2: Convert to fraction form
    1,053,052/2,053,615 = 2,053,615/x
  3. Step 3: Cross multiply
    1,053,052x = 2,053,615 × 2,053,615
  4. Step 4: Simplify right side
    1,053,052x = 4,217,334,568,225
  5. Step 5: Solve for x
    x = 4,217,334,568,225/1,053,052
  6. Step 6: Final answer
    x = 4,004,868.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.