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Finding the Third Proportional to 818,175 and 1,750,065

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Solution

The third proportional to 818,175 and 1,750,065 is: 3,743,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,175 : 1,750,065 = 1,750,065 : x
  2. Step 2: Convert to fraction form
    818,175/1,750,065 = 1,750,065/x
  3. Step 3: Cross multiply
    818,175x = 1,750,065 × 1,750,065
  4. Step 4: Simplify right side
    818,175x = 3,062,727,504,225
  5. Step 5: Solve for x
    x = 3,062,727,504,225/818,175
  6. Step 6: Final answer
    x = 3,743,364.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.