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Finding the Third Proportional to 668,829 and 1,010,375

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Solution

The third proportional to 668,829 and 1,010,375 is: 1,526,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,829 : 1,010,375 = 1,010,375 : x
  2. Step 2: Convert to fraction form
    668,829/1,010,375 = 1,010,375/x
  3. Step 3: Cross multiply
    668,829x = 1,010,375 × 1,010,375
  4. Step 4: Simplify right side
    668,829x = 1,020,857,640,625
  5. Step 5: Solve for x
    x = 1,020,857,640,625/668,829
  6. Step 6: Final answer
    x = 1,526,335.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.