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Finding the Third Proportional to 456,928 and 983,872

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Solution

The third proportional to 456,928 and 983,872 is: 2,118,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,928 : 983,872 = 983,872 : x
  2. Step 2: Convert to fraction form
    456,928/983,872 = 983,872/x
  3. Step 3: Cross multiply
    456,928x = 983,872 × 983,872
  4. Step 4: Simplify right side
    456,928x = 968,004,112,384
  5. Step 5: Solve for x
    x = 968,004,112,384/456,928
  6. Step 6: Final answer
    x = 2,118,504.69

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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.