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Finding the Third Proportional to 1,284,960 and 2,740,918

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Solution

The third proportional to 1,284,960 and 2,740,918 is: 5,846,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,960 : 2,740,918 = 2,740,918 : x
  2. Step 2: Convert to fraction form
    1,284,960/2,740,918 = 2,740,918/x
  3. Step 3: Cross multiply
    1,284,960x = 2,740,918 × 2,740,918
  4. Step 4: Simplify right side
    1,284,960x = 7,512,631,482,724
  5. Step 5: Solve for x
    x = 7,512,631,482,724/1,284,960
  6. Step 6: Final answer
    x = 5,846,587.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.