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Finding the Third Proportional to 1,047,634 and 2,301,016

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Solution

The third proportional to 1,047,634 and 2,301,016 is: 5,053,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,634 : 2,301,016 = 2,301,016 : x
  2. Step 2: Convert to fraction form
    1,047,634/2,301,016 = 2,301,016/x
  3. Step 3: Cross multiply
    1,047,634x = 2,301,016 × 2,301,016
  4. Step 4: Simplify right side
    1,047,634x = 5,294,674,632,256
  5. Step 5: Solve for x
    x = 5,294,674,632,256/1,047,634
  6. Step 6: Final answer
    x = 5,053,935.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.