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Finding the Third Proportional to 455,274 and 983,494

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Solution

The third proportional to 455,274 and 983,494 is: 2,124,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,274 : 983,494 = 983,494 : x
  2. Step 2: Convert to fraction form
    455,274/983,494 = 983,494/x
  3. Step 3: Cross multiply
    455,274x = 983,494 × 983,494
  4. Step 4: Simplify right side
    455,274x = 967,260,448,036
  5. Step 5: Solve for x
    x = 967,260,448,036/455,274
  6. Step 6: Final answer
    x = 2,124,567.73

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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.