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Finding the Third Proportional to 667,140 and 983,064

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Solution

The third proportional to 667,140 and 983,064 is: 1,448,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,140 : 983,064 = 983,064 : x
  2. Step 2: Convert to fraction form
    667,140/983,064 = 983,064/x
  3. Step 3: Cross multiply
    667,140x = 983,064 × 983,064
  4. Step 4: Simplify right side
    667,140x = 966,414,828,096
  5. Step 5: Solve for x
    x = 966,414,828,096/667,140
  6. Step 6: Final answer
    x = 1,448,593.74

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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.