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Finding the Third Proportional to 806,200 and 1,759,768

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Solution

The third proportional to 806,200 and 1,759,768 is: 3,841,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,200 : 1,759,768 = 1,759,768 : x
  2. Step 2: Convert to fraction form
    806,200/1,759,768 = 1,759,768/x
  3. Step 3: Cross multiply
    806,200x = 1,759,768 × 1,759,768
  4. Step 4: Simplify right side
    806,200x = 3,096,783,413,824
  5. Step 5: Solve for x
    x = 3,096,783,413,824/806,200
  6. Step 6: Final answer
    x = 3,841,209.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.