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Finding the Third Proportional to 427,574 and 923,668

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Solution

The third proportional to 427,574 and 923,668 is: 1,995,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,574 : 923,668 = 923,668 : x
  2. Step 2: Convert to fraction form
    427,574/923,668 = 923,668/x
  3. Step 3: Cross multiply
    427,574x = 923,668 × 923,668
  4. Step 4: Simplify right side
    427,574x = 853,162,574,224
  5. Step 5: Solve for x
    x = 853,162,574,224/427,574
  6. Step 6: Final answer
    x = 1,995,356.53

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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.