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Finding the Third Proportional to 427,592 and 923,704

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Solution

The third proportional to 427,592 and 923,704 is: 1,995,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,592 : 923,704 = 923,704 : x
  2. Step 2: Convert to fraction form
    427,592/923,704 = 923,704/x
  3. Step 3: Cross multiply
    427,592x = 923,704 × 923,704
  4. Step 4: Simplify right side
    427,592x = 853,229,079,616
  5. Step 5: Solve for x
    x = 853,229,079,616/427,592
  6. Step 6: Final answer
    x = 1,995,428.07

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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.