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Finding the Third Proportional to 457,928 and 983,568

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Solution

The third proportional to 457,928 and 983,568 is: 2,112,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928 : 983,568 = 983,568 : x
  2. Step 2: Convert to fraction form
    457,928/983,568 = 983,568/x
  3. Step 3: Cross multiply
    457,928x = 983,568 × 983,568
  4. Step 4: Simplify right side
    457,928x = 967,406,010,624
  5. Step 5: Solve for x
    x = 967,406,010,624/457,928
  6. Step 6: Final answer
    x = 2,112,572.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.