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Finding the Third Proportional to 456,930 and 983,876

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Solution

The third proportional to 456,930 and 983,876 is: 2,118,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,930 : 983,876 = 983,876 : x
  2. Step 2: Convert to fraction form
    456,930/983,876 = 983,876/x
  3. Step 3: Cross multiply
    456,930x = 983,876 × 983,876
  4. Step 4: Simplify right side
    456,930x = 968,011,983,376
  5. Step 5: Solve for x
    x = 968,011,983,376/456,930
  6. Step 6: Final answer
    x = 2,118,512.65

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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.