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Finding the Third Proportional to 2,854,159 and 3,913,821

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Solution

The third proportional to 2,854,159 and 3,913,821 is: 5,366,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,159 : 3,913,821 = 3,913,821 : x
  2. Step 2: Convert to fraction form
    2,854,159/3,913,821 = 3,913,821/x
  3. Step 3: Cross multiply
    2,854,159x = 3,913,821 × 3,913,821
  4. Step 4: Simplify right side
    2,854,159x = 15,317,994,820,041
  5. Step 5: Solve for x
    x = 15,317,994,820,041/2,854,159
  6. Step 6: Final answer
    x = 5,366,903.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.