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Finding the Third Proportional to 577,974 and 923,001

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Solution

The third proportional to 577,974 and 923,001 is: 1,473,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,974 : 923,001 = 923,001 : x
  2. Step 2: Convert to fraction form
    577,974/923,001 = 923,001/x
  3. Step 3: Cross multiply
    577,974x = 923,001 × 923,001
  4. Step 4: Simplify right side
    577,974x = 851,930,846,001
  5. Step 5: Solve for x
    x = 851,930,846,001/577,974
  6. Step 6: Final answer
    x = 1,473,995.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.