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Finding the Third Proportional to 426,168 and 867,024

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Solution

The third proportional to 426,168 and 867,024 is: 1,763,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,168 : 867,024 = 867,024 : x
  2. Step 2: Convert to fraction form
    426,168/867,024 = 867,024/x
  3. Step 3: Cross multiply
    426,168x = 867,024 × 867,024
  4. Step 4: Simplify right side
    426,168x = 751,730,616,576
  5. Step 5: Solve for x
    x = 751,730,616,576/426,168
  6. Step 6: Final answer
    x = 1,763,930.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.