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Finding the Third Proportional to 741,896 and 1,602,064

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Solution

The third proportional to 741,896 and 1,602,064 is: 3,459,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,896 : 1,602,064 = 1,602,064 : x
  2. Step 2: Convert to fraction form
    741,896/1,602,064 = 1,602,064/x
  3. Step 3: Cross multiply
    741,896x = 1,602,064 × 1,602,064
  4. Step 4: Simplify right side
    741,896x = 2,566,609,060,096
  5. Step 5: Solve for x
    x = 2,566,609,060,096/741,896
  6. Step 6: Final answer
    x = 3,459,526.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.