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Finding the Third Proportional to 2,010,692 and 4,161,352

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Solution

The third proportional to 2,010,692 and 4,161,352 is: 8,612,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,692 : 4,161,352 = 4,161,352 : x
  2. Step 2: Convert to fraction form
    2,010,692/4,161,352 = 4,161,352/x
  3. Step 3: Cross multiply
    2,010,692x = 4,161,352 × 4,161,352
  4. Step 4: Simplify right side
    2,010,692x = 17,316,850,467,904
  5. Step 5: Solve for x
    x = 17,316,850,467,904/2,010,692
  6. Step 6: Final answer
    x = 8,612,383.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.