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Finding the Third Proportional to 432,774 and 934,668

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Solution

The third proportional to 432,774 and 934,668 is: 2,018,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,774 : 934,668 = 934,668 : x
  2. Step 2: Convert to fraction form
    432,774/934,668 = 934,668/x
  3. Step 3: Cross multiply
    432,774x = 934,668 × 934,668
  4. Step 4: Simplify right side
    432,774x = 873,604,270,224
  5. Step 5: Solve for x
    x = 873,604,270,224/432,774
  6. Step 6: Final answer
    x = 2,018,615.42

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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.