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Finding the Third Proportional to 377,909 and 829,537

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Solution

The third proportional to 377,909 and 829,537 is: 1,820,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,909 : 829,537 = 829,537 : x
  2. Step 2: Convert to fraction form
    377,909/829,537 = 829,537/x
  3. Step 3: Cross multiply
    377,909x = 829,537 × 829,537
  4. Step 4: Simplify right side
    377,909x = 688,131,634,369
  5. Step 5: Solve for x
    x = 688,131,634,369/377,909
  6. Step 6: Final answer
    x = 1,820,892.42

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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.