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Finding the Third Proportional to 1,425,443 and 2,874,214

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Solution

The third proportional to 1,425,443 and 2,874,214 is: 5,795,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,443 : 2,874,214 = 2,874,214 : x
  2. Step 2: Convert to fraction form
    1,425,443/2,874,214 = 2,874,214/x
  3. Step 3: Cross multiply
    1,425,443x = 2,874,214 × 2,874,214
  4. Step 4: Simplify right side
    1,425,443x = 8,261,106,117,796
  5. Step 5: Solve for x
    x = 8,261,106,117,796/1,425,443
  6. Step 6: Final answer
    x = 5,795,465.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.