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Finding the Third Proportional to 1,855,830.75 and 3,881,344.75

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Solution

The third proportional to 1,855,830.75 and 3,881,344.75 is: 8,117,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,830.75 : 3,881,344.75 = 3,881,344.75 : x
  2. Step 2: Convert to fraction form
    1,855,830.75/3,881,344.75 = 3,881,344.75/x
  3. Step 3: Cross multiply
    1,855,830.75x = 3,881,344.75 × 3,881,344.75
  4. Step 4: Simplify right side
    1,855,830.75x = 15,064,837,068,352.56
  5. Step 5: Solve for x
    x = 15,064,837,068,352.56/1,855,830.75
  6. Step 6: Final answer
    x = 8,117,570.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.