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Finding the Third Proportional to 1,414,398 and 3,052,842

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Solution

The third proportional to 1,414,398 and 3,052,842 is: 6,589,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,398 : 3,052,842 = 3,052,842 : x
  2. Step 2: Convert to fraction form
    1,414,398/3,052,842 = 3,052,842/x
  3. Step 3: Cross multiply
    1,414,398x = 3,052,842 × 3,052,842
  4. Step 4: Simplify right side
    1,414,398x = 9,319,844,276,964
  5. Step 5: Solve for x
    x = 9,319,844,276,964/1,414,398
  6. Step 6: Final answer
    x = 6,589,265.73

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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.