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Finding the Third Proportional to 644,969 and 1,412,671

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Solution

The third proportional to 644,969 and 1,412,671 is: 3,094,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,969 : 1,412,671 = 1,412,671 : x
  2. Step 2: Convert to fraction form
    644,969/1,412,671 = 1,412,671/x
  3. Step 3: Cross multiply
    644,969x = 1,412,671 × 1,412,671
  4. Step 4: Simplify right side
    644,969x = 1,995,639,354,241
  5. Step 5: Solve for x
    x = 1,995,639,354,241/644,969
  6. Step 6: Final answer
    x = 3,094,163.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.