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Finding the Third Proportional to 830,517 and 1,317,672

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Solution

The third proportional to 830,517 and 1,317,672 is: 2,090,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,517 : 1,317,672 = 1,317,672 : x
  2. Step 2: Convert to fraction form
    830,517/1,317,672 = 1,317,672/x
  3. Step 3: Cross multiply
    830,517x = 1,317,672 × 1,317,672
  4. Step 4: Simplify right side
    830,517x = 1,736,259,499,584
  5. Step 5: Solve for x
    x = 1,736,259,499,584/830,517
  6. Step 6: Final answer
    x = 2,090,576.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.