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Finding the Third Proportional to 1,462,842 and 1,941,036

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Solution

The third proportional to 1,462,842 and 1,941,036 is: 2,575,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,842 : 1,941,036 = 1,941,036 : x
  2. Step 2: Convert to fraction form
    1,462,842/1,941,036 = 1,941,036/x
  3. Step 3: Cross multiply
    1,462,842x = 1,941,036 × 1,941,036
  4. Step 4: Simplify right side
    1,462,842x = 3,767,620,753,296
  5. Step 5: Solve for x
    x = 3,767,620,753,296/1,462,842
  6. Step 6: Final answer
    x = 2,575,548.66

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.