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Finding the Third Proportional to 1,825,556 and 4,070,868

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Solution

The third proportional to 1,825,556 and 4,070,868 is: 9,077,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,556 : 4,070,868 = 4,070,868 : x
  2. Step 2: Convert to fraction form
    1,825,556/4,070,868 = 4,070,868/x
  3. Step 3: Cross multiply
    1,825,556x = 4,070,868 × 4,070,868
  4. Step 4: Simplify right side
    1,825,556x = 16,571,966,273,424
  5. Step 5: Solve for x
    x = 16,571,966,273,424/1,825,556
  6. Step 6: Final answer
    x = 9,077,763.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.