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Finding the Third Proportional to 432,746 and 941,684

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Solution

The third proportional to 432,746 and 941,684 is: 2,049,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,746 : 941,684 = 941,684 : x
  2. Step 2: Convert to fraction form
    432,746/941,684 = 941,684/x
  3. Step 3: Cross multiply
    432,746x = 941,684 × 941,684
  4. Step 4: Simplify right side
    432,746x = 886,768,755,856
  5. Step 5: Solve for x
    x = 886,768,755,856/432,746
  6. Step 6: Final answer
    x = 2,049,166.85

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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.