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Finding the Third Proportional to 674,802 and 1,019,175

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Solution

The third proportional to 674,802 and 1,019,175 is: 1,539,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,802 : 1,019,175 = 1,019,175 : x
  2. Step 2: Convert to fraction form
    674,802/1,019,175 = 1,019,175/x
  3. Step 3: Cross multiply
    674,802x = 1,019,175 × 1,019,175
  4. Step 4: Simplify right side
    674,802x = 1,038,717,680,625
  5. Step 5: Solve for x
    x = 1,038,717,680,625/674,802
  6. Step 6: Final answer
    x = 1,539,292.53

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