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Finding the Third Proportional to 1,103,960 and 1,661,416

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Solution

The third proportional to 1,103,960 and 1,661,416 is: 2,500,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,960 : 1,661,416 = 1,661,416 : x
  2. Step 2: Convert to fraction form
    1,103,960/1,661,416 = 1,661,416/x
  3. Step 3: Cross multiply
    1,103,960x = 1,661,416 × 1,661,416
  4. Step 4: Simplify right side
    1,103,960x = 2,760,303,125,056
  5. Step 5: Solve for x
    x = 2,760,303,125,056/1,103,960
  6. Step 6: Final answer
    x = 2,500,365.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.