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Finding the Third Proportional to 674,406 and 1,016,064

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Solution

The third proportional to 674,406 and 1,016,064 is: 1,530,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,406 : 1,016,064 = 1,016,064 : x
  2. Step 2: Convert to fraction form
    674,406/1,016,064 = 1,016,064/x
  3. Step 3: Cross multiply
    674,406x = 1,016,064 × 1,016,064
  4. Step 4: Simplify right side
    674,406x = 1,032,386,052,096
  5. Step 5: Solve for x
    x = 1,032,386,052,096/674,406
  6. Step 6: Final answer
    x = 1,530,807.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.