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Finding the Third Proportional to 594,161 and 1,297,191

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Solution

The third proportional to 594,161 and 1,297,191 is: 2,832,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,161 : 1,297,191 = 1,297,191 : x
  2. Step 2: Convert to fraction form
    594,161/1,297,191 = 1,297,191/x
  3. Step 3: Cross multiply
    594,161x = 1,297,191 × 1,297,191
  4. Step 4: Simplify right side
    594,161x = 1,682,704,490,481
  5. Step 5: Solve for x
    x = 1,682,704,490,481/594,161
  6. Step 6: Final answer
    x = 2,832,068.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.