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Finding the Third Proportional to 594,163 and 1,297,195

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Solution

The third proportional to 594,163 and 1,297,195 is: 2,832,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,163 : 1,297,195 = 1,297,195 : x
  2. Step 2: Convert to fraction form
    594,163/1,297,195 = 1,297,195/x
  3. Step 3: Cross multiply
    594,163x = 1,297,195 × 1,297,195
  4. Step 4: Simplify right side
    594,163x = 1,682,714,868,025
  5. Step 5: Solve for x
    x = 1,682,714,868,025/594,163
  6. Step 6: Final answer
    x = 2,832,076.16

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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.