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Finding the Third Proportional to 377,922 and 829,564

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Solution

The third proportional to 377,922 and 829,564 is: 1,820,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,922 : 829,564 = 829,564 : x
  2. Step 2: Convert to fraction form
    377,922/829,564 = 829,564/x
  3. Step 3: Cross multiply
    377,922x = 829,564 × 829,564
  4. Step 4: Simplify right side
    377,922x = 688,176,430,096
  5. Step 5: Solve for x
    x = 688,176,430,096/377,922
  6. Step 6: Final answer
    x = 1,820,948.32

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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.