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Finding the Third Proportional to 647,046 and 1,405,869.75

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Solution

The third proportional to 647,046 and 1,405,869.75 is: 3,054,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,046 : 1,405,869.75 = 1,405,869.75 : x
  2. Step 2: Convert to fraction form
    647,046/1,405,869.75 = 1,405,869.75/x
  3. Step 3: Cross multiply
    647,046x = 1,405,869.75 × 1,405,869.75
  4. Step 4: Simplify right side
    647,046x = 1,976,469,753,965.06
  5. Step 5: Solve for x
    x = 1,976,469,753,965.06/647,046
  6. Step 6: Final answer
    x = 3,054,604.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.