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Finding the Third Proportional to 620,128 and 948,064

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Solution

The third proportional to 620,128 and 948,064 is: 1,449,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,128 : 948,064 = 948,064 : x
  2. Step 2: Convert to fraction form
    620,128/948,064 = 948,064/x
  3. Step 3: Cross multiply
    620,128x = 948,064 × 948,064
  4. Step 4: Simplify right side
    620,128x = 898,825,348,096
  5. Step 5: Solve for x
    x = 898,825,348,096/620,128
  6. Step 6: Final answer
    x = 1,449,419.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.