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Finding the Third Proportional to 599,600 and 922,557

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Solution

The third proportional to 599,600 and 922,557 is: 1,419,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,600 : 922,557 = 922,557 : x
  2. Step 2: Convert to fraction form
    599,600/922,557 = 922,557/x
  3. Step 3: Cross multiply
    599,600x = 922,557 × 922,557
  4. Step 4: Simplify right side
    599,600x = 851,111,418,249
  5. Step 5: Solve for x
    x = 851,111,418,249/599,600
  6. Step 6: Final answer
    x = 1,419,465.34

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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.