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Finding the Third Proportional to 1,610,727 and 2,253,096

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Solution

The third proportional to 1,610,727 and 2,253,096 is: 3,151,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,727 : 2,253,096 = 2,253,096 : x
  2. Step 2: Convert to fraction form
    1,610,727/2,253,096 = 2,253,096/x
  3. Step 3: Cross multiply
    1,610,727x = 2,253,096 × 2,253,096
  4. Step 4: Simplify right side
    1,610,727x = 5,076,441,585,216
  5. Step 5: Solve for x
    x = 5,076,441,585,216/1,610,727
  6. Step 6: Final answer
    x = 3,151,646.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.