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Finding the Third Proportional to 820,375 and 1,259,290

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Solution

The third proportional to 820,375 and 1,259,290 is: 1,933,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,375 : 1,259,290 = 1,259,290 : x
  2. Step 2: Convert to fraction form
    820,375/1,259,290 = 1,259,290/x
  3. Step 3: Cross multiply
    820,375x = 1,259,290 × 1,259,290
  4. Step 4: Simplify right side
    820,375x = 1,585,811,304,100
  5. Step 5: Solve for x
    x = 1,585,811,304,100/820,375
  6. Step 6: Final answer
    x = 1,933,032.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.