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Finding the Third Proportional to 597,971 and 923,396

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Solution

The third proportional to 597,971 and 923,396 is: 1,425,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,971 : 923,396 = 923,396 : x
  2. Step 2: Convert to fraction form
    597,971/923,396 = 923,396/x
  3. Step 3: Cross multiply
    597,971x = 923,396 × 923,396
  4. Step 4: Simplify right side
    597,971x = 852,660,172,816
  5. Step 5: Solve for x
    x = 852,660,172,816/597,971
  6. Step 6: Final answer
    x = 1,425,922.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.