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Finding the Third Proportional to 377,739 and 829,897

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Solution

The third proportional to 377,739 and 829,897 is: 1,823,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,739 : 829,897 = 829,897 : x
  2. Step 2: Convert to fraction form
    377,739/829,897 = 829,897/x
  3. Step 3: Cross multiply
    377,739x = 829,897 × 829,897
  4. Step 4: Simplify right side
    377,739x = 688,729,030,609
  5. Step 5: Solve for x
    x = 688,729,030,609/377,739
  6. Step 6: Final answer
    x = 1,823,293.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.