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Finding the Third Proportional to 832,284 and 1,795,680

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Solution

The third proportional to 832,284 and 1,795,680 is: 3,874,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,284 : 1,795,680 = 1,795,680 : x
  2. Step 2: Convert to fraction form
    832,284/1,795,680 = 1,795,680/x
  3. Step 3: Cross multiply
    832,284x = 1,795,680 × 1,795,680
  4. Step 4: Simplify right side
    832,284x = 3,224,466,662,400
  5. Step 5: Solve for x
    x = 3,224,466,662,400/832,284
  6. Step 6: Final answer
    x = 3,874,238.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.