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Finding the Third Proportional to 851,513 and 1,419,128

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Solution

The third proportional to 851,513 and 1,419,128 is: 2,365,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,513 : 1,419,128 = 1,419,128 : x
  2. Step 2: Convert to fraction form
    851,513/1,419,128 = 1,419,128/x
  3. Step 3: Cross multiply
    851,513x = 1,419,128 × 1,419,128
  4. Step 4: Simplify right side
    851,513x = 2,013,924,280,384
  5. Step 5: Solve for x
    x = 2,013,924,280,384/851,513
  6. Step 6: Final answer
    x = 2,365,112.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.