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Finding the Third Proportional to 1,821,874 and 2,595,295

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Solution

The third proportional to 1,821,874 and 2,595,295 is: 3,697,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,874 : 2,595,295 = 2,595,295 : x
  2. Step 2: Convert to fraction form
    1,821,874/2,595,295 = 2,595,295/x
  3. Step 3: Cross multiply
    1,821,874x = 2,595,295 × 2,595,295
  4. Step 4: Simplify right side
    1,821,874x = 6,735,556,137,025
  5. Step 5: Solve for x
    x = 6,735,556,137,025/1,821,874
  6. Step 6: Final answer
    x = 3,697,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.