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Finding the Third Proportional to 1,270,116 and 1,749,654

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Solution

The third proportional to 1,270,116 and 1,749,654 is: 2,410,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,116 : 1,749,654 = 1,749,654 : x
  2. Step 2: Convert to fraction form
    1,270,116/1,749,654 = 1,749,654/x
  3. Step 3: Cross multiply
    1,270,116x = 1,749,654 × 1,749,654
  4. Step 4: Simplify right side
    1,270,116x = 3,061,289,119,716
  5. Step 5: Solve for x
    x = 3,061,289,119,716/1,270,116
  6. Step 6: Final answer
    x = 2,410,243.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.