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Finding the Third Proportional to 2,661,289 and 4,169,261

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Solution

The third proportional to 2,661,289 and 4,169,261 is: 6,531,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,289 : 4,169,261 = 4,169,261 : x
  2. Step 2: Convert to fraction form
    2,661,289/4,169,261 = 4,169,261/x
  3. Step 3: Cross multiply
    2,661,289x = 4,169,261 × 4,169,261
  4. Step 4: Simplify right side
    2,661,289x = 17,382,737,286,121
  5. Step 5: Solve for x
    x = 17,382,737,286,121/2,661,289
  6. Step 6: Final answer
    x = 6,531,698.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.