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Finding the Third Proportional to 1,457,608 and 3,196,016

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Solution

The third proportional to 1,457,608 and 3,196,016 is: 7,007,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,608 : 3,196,016 = 3,196,016 : x
  2. Step 2: Convert to fraction form
    1,457,608/3,196,016 = 3,196,016/x
  3. Step 3: Cross multiply
    1,457,608x = 3,196,016 × 3,196,016
  4. Step 4: Simplify right side
    1,457,608x = 10,214,518,272,256
  5. Step 5: Solve for x
    x = 10,214,518,272,256/1,457,608
  6. Step 6: Final answer
    x = 7,007,726.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.