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Finding the Third Proportional to 599,598 and 922,554

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Solution

The third proportional to 599,598 and 922,554 is: 1,419,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,598 : 922,554 = 922,554 : x
  2. Step 2: Convert to fraction form
    599,598/922,554 = 922,554/x
  3. Step 3: Cross multiply
    599,598x = 922,554 × 922,554
  4. Step 4: Simplify right side
    599,598x = 851,105,882,916
  5. Step 5: Solve for x
    x = 851,105,882,916/599,598
  6. Step 6: Final answer
    x = 1,419,460.84

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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.