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Finding the Third Proportional to 618,624 and 922,104

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Solution

The third proportional to 618,624 and 922,104 is: 1,374,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,624 : 922,104 = 922,104 : x
  2. Step 2: Convert to fraction form
    618,624/922,104 = 922,104/x
  3. Step 3: Cross multiply
    618,624x = 922,104 × 922,104
  4. Step 4: Simplify right side
    618,624x = 850,275,786,816
  5. Step 5: Solve for x
    x = 850,275,786,816/618,624
  6. Step 6: Final answer
    x = 1,374,462.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.