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Finding the Third Proportional to 386,390 and 829,911

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Solution

The third proportional to 386,390 and 829,911 is: 1,782,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,390 : 829,911 = 829,911 : x
  2. Step 2: Convert to fraction form
    386,390/829,911 = 829,911/x
  3. Step 3: Cross multiply
    386,390x = 829,911 × 829,911
  4. Step 4: Simplify right side
    386,390x = 688,752,267,921
  5. Step 5: Solve for x
    x = 688,752,267,921/386,390
  6. Step 6: Final answer
    x = 1,782,531.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.