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Finding the Third Proportional to 462,172.50 and 1,000,161

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Solution

The third proportional to 462,172.50 and 1,000,161 is: 2,164,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,172.50 : 1,000,161 = 1,000,161 : x
  2. Step 2: Convert to fraction form
    462,172.50/1,000,161 = 1,000,161/x
  3. Step 3: Cross multiply
    462,172.50x = 1,000,161 × 1,000,161
  4. Step 4: Simplify right side
    462,172.50x = 1,000,322,025,921
  5. Step 5: Solve for x
    x = 1,000,322,025,921/462,172.50
  6. Step 6: Final answer
    x = 2,164,391.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.