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Finding the Third Proportional to 923,695 and 1,470,916

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Solution

The third proportional to 923,695 and 1,470,916 is: 2,342,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,695 : 1,470,916 = 1,470,916 : x
  2. Step 2: Convert to fraction form
    923,695/1,470,916 = 1,470,916/x
  3. Step 3: Cross multiply
    923,695x = 1,470,916 × 1,470,916
  4. Step 4: Simplify right side
    923,695x = 2,163,593,879,056
  5. Step 5: Solve for x
    x = 2,163,593,879,056/923,695
  6. Step 6: Final answer
    x = 2,342,324.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.