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Finding the Third Proportional to 946,487 and 2,052,669

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Solution

The third proportional to 946,487 and 2,052,669 is: 4,451,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,487 : 2,052,669 = 2,052,669 : x
  2. Step 2: Convert to fraction form
    946,487/2,052,669 = 2,052,669/x
  3. Step 3: Cross multiply
    946,487x = 2,052,669 × 2,052,669
  4. Step 4: Simplify right side
    946,487x = 4,213,450,023,561
  5. Step 5: Solve for x
    x = 4,213,450,023,561/946,487
  6. Step 6: Final answer
    x = 4,451,672.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.