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Finding the Third Proportional to 1,267,020 and 2,638,512

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Solution

The third proportional to 1,267,020 and 2,638,512 is: 5,494,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,020 : 2,638,512 = 2,638,512 : x
  2. Step 2: Convert to fraction form
    1,267,020/2,638,512 = 2,638,512/x
  3. Step 3: Cross multiply
    1,267,020x = 2,638,512 × 2,638,512
  4. Step 4: Simplify right side
    1,267,020x = 6,961,745,574,144
  5. Step 5: Solve for x
    x = 6,961,745,574,144/1,267,020
  6. Step 6: Final answer
    x = 5,494,582.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.