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Finding the Third Proportional to 669,624 and 992,852

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Solution

The third proportional to 669,624 and 992,852 is: 1,472,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,624 : 992,852 = 992,852 : x
  2. Step 2: Convert to fraction form
    669,624/992,852 = 992,852/x
  3. Step 3: Cross multiply
    669,624x = 992,852 × 992,852
  4. Step 4: Simplify right side
    669,624x = 985,755,093,904
  5. Step 5: Solve for x
    x = 985,755,093,904/669,624
  6. Step 6: Final answer
    x = 1,472,102.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.