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Finding the Third Proportional to 434,160 and 925,668

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Solution

The third proportional to 434,160 and 925,668 is: 1,973,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,160 : 925,668 = 925,668 : x
  2. Step 2: Convert to fraction form
    434,160/925,668 = 925,668/x
  3. Step 3: Cross multiply
    434,160x = 925,668 × 925,668
  4. Step 4: Simplify right side
    434,160x = 856,861,246,224
  5. Step 5: Solve for x
    x = 856,861,246,224/434,160
  6. Step 6: Final answer
    x = 1,973,607.07

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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.