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Finding the Third Proportional to 398,106 and 874,932

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Solution

The third proportional to 398,106 and 874,932 is: 1,922,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,106 : 874,932 = 874,932 : x
  2. Step 2: Convert to fraction form
    398,106/874,932 = 874,932/x
  3. Step 3: Cross multiply
    398,106x = 874,932 × 874,932
  4. Step 4: Simplify right side
    398,106x = 765,506,004,624
  5. Step 5: Solve for x
    x = 765,506,004,624/398,106
  6. Step 6: Final answer
    x = 1,922,869.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.