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Finding the Third Proportional to 1,828,050 and 3,961,186

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Solution

The third proportional to 1,828,050 and 3,961,186 is: 8,583,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,050 : 3,961,186 = 3,961,186 : x
  2. Step 2: Convert to fraction form
    1,828,050/3,961,186 = 3,961,186/x
  3. Step 3: Cross multiply
    1,828,050x = 3,961,186 × 3,961,186
  4. Step 4: Simplify right side
    1,828,050x = 15,690,994,526,596
  5. Step 5: Solve for x
    x = 15,690,994,526,596/1,828,050
  6. Step 6: Final answer
    x = 8,583,460.26

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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.