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Finding the Third Proportional to 923,427 and 1,397,412

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Solution

The third proportional to 923,427 and 1,397,412 is: 2,114,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,427 : 1,397,412 = 1,397,412 : x
  2. Step 2: Convert to fraction form
    923,427/1,397,412 = 1,397,412/x
  3. Step 3: Cross multiply
    923,427x = 1,397,412 × 1,397,412
  4. Step 4: Simplify right side
    923,427x = 1,952,760,297,744
  5. Step 5: Solve for x
    x = 1,952,760,297,744/923,427
  6. Step 6: Final answer
    x = 2,114,688.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.