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Finding the Third Proportional to 2,701,072 and 4,120,209

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Solution

The third proportional to 2,701,072 and 4,120,209 is: 6,284,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,072 : 4,120,209 = 4,120,209 : x
  2. Step 2: Convert to fraction form
    2,701,072/4,120,209 = 4,120,209/x
  3. Step 3: Cross multiply
    2,701,072x = 4,120,209 × 4,120,209
  4. Step 4: Simplify right side
    2,701,072x = 16,976,122,203,681
  5. Step 5: Solve for x
    x = 16,976,122,203,681/2,701,072
  6. Step 6: Final answer
    x = 6,284,957.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.