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Finding the Third Proportional to 599,603 and 922,562

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Solution

The third proportional to 599,603 and 922,562 is: 1,419,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,603 : 922,562 = 922,562 : x
  2. Step 2: Convert to fraction form
    599,603/922,562 = 922,562/x
  3. Step 3: Cross multiply
    599,603x = 922,562 × 922,562
  4. Step 4: Simplify right side
    599,603x = 851,120,643,844
  5. Step 5: Solve for x
    x = 851,120,643,844/599,603
  6. Step 6: Final answer
    x = 1,419,473.62

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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.