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Finding the Third Proportional to 757,026 and 1,661,185

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Solution

The third proportional to 757,026 and 1,661,185 is: 3,645,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,026 : 1,661,185 = 1,661,185 : x
  2. Step 2: Convert to fraction form
    757,026/1,661,185 = 1,661,185/x
  3. Step 3: Cross multiply
    757,026x = 1,661,185 × 1,661,185
  4. Step 4: Simplify right side
    757,026x = 2,759,535,604,225
  5. Step 5: Solve for x
    x = 2,759,535,604,225/757,026
  6. Step 6: Final answer
    x = 3,645,232.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.