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Finding the Third Proportional to 1,828,170 and 3,961,386

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Solution

The third proportional to 1,828,170 and 3,961,386 is: 8,583,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,170 : 3,961,386 = 3,961,386 : x
  2. Step 2: Convert to fraction form
    1,828,170/3,961,386 = 3,961,386/x
  3. Step 3: Cross multiply
    1,828,170x = 3,961,386 × 3,961,386
  4. Step 4: Simplify right side
    1,828,170x = 15,692,579,040,996
  5. Step 5: Solve for x
    x = 15,692,579,040,996/1,828,170
  6. Step 6: Final answer
    x = 8,583,763.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.