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Finding the Third Proportional to 434,168 and 925,684

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Solution

The third proportional to 434,168 and 925,684 is: 1,973,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,168 : 925,684 = 925,684 : x
  2. Step 2: Convert to fraction form
    434,168/925,684 = 925,684/x
  3. Step 3: Cross multiply
    434,168x = 925,684 × 925,684
  4. Step 4: Simplify right side
    434,168x = 856,890,867,856
  5. Step 5: Solve for x
    x = 856,890,867,856/434,168
  6. Step 6: Final answer
    x = 1,973,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.