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Finding the Third Proportional to 667,154 and 983,085

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Solution

The third proportional to 667,154 and 983,085 is: 1,448,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,154 : 983,085 = 983,085 : x
  2. Step 2: Convert to fraction form
    667,154/983,085 = 983,085/x
  3. Step 3: Cross multiply
    667,154x = 983,085 × 983,085
  4. Step 4: Simplify right side
    667,154x = 966,456,117,225
  5. Step 5: Solve for x
    x = 966,456,117,225/667,154
  6. Step 6: Final answer
    x = 1,448,625.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.