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Finding the Third Proportional to 427,203 and 922,932

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Solution

The third proportional to 427,203 and 922,932 is: 1,993,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,203 : 922,932 = 922,932 : x
  2. Step 2: Convert to fraction form
    427,203/922,932 = 922,932/x
  3. Step 3: Cross multiply
    427,203x = 922,932 × 922,932
  4. Step 4: Simplify right side
    427,203x = 851,803,476,624
  5. Step 5: Solve for x
    x = 851,803,476,624/427,203
  6. Step 6: Final answer
    x = 1,993,907.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.