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Finding the Third Proportional to 1,855,199 and 2,837,971

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Solution

The third proportional to 1,855,199 and 2,837,971 is: 4,341,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,199 : 2,837,971 = 2,837,971 : x
  2. Step 2: Convert to fraction form
    1,855,199/2,837,971 = 2,837,971/x
  3. Step 3: Cross multiply
    1,855,199x = 2,837,971 × 2,837,971
  4. Step 4: Simplify right side
    1,855,199x = 8,054,079,396,841
  5. Step 5: Solve for x
    x = 8,054,079,396,841/1,855,199
  6. Step 6: Final answer
    x = 4,341,356.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.