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Finding the Third Proportional to 644,828 and 996,885

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Solution

The third proportional to 644,828 and 996,885 is: 1,541,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,828 : 996,885 = 996,885 : x
  2. Step 2: Convert to fraction form
    644,828/996,885 = 996,885/x
  3. Step 3: Cross multiply
    644,828x = 996,885 × 996,885
  4. Step 4: Simplify right side
    644,828x = 993,779,703,225
  5. Step 5: Solve for x
    x = 993,779,703,225/644,828
  6. Step 6: Final answer
    x = 1,541,154.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.