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Finding the Third Proportional to 449,703 and 957,669

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Solution

The third proportional to 449,703 and 957,669 is: 2,039,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,703 : 957,669 = 957,669 : x
  2. Step 2: Convert to fraction form
    449,703/957,669 = 957,669/x
  3. Step 3: Cross multiply
    449,703x = 957,669 × 957,669
  4. Step 4: Simplify right side
    449,703x = 917,129,913,561
  5. Step 5: Solve for x
    x = 917,129,913,561/449,703
  6. Step 6: Final answer
    x = 2,039,412.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.