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Finding the Third Proportional to 471,635.79 and 1,017,961.80

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Solution

The third proportional to 471,635.79 and 1,017,961.80 is: 2,197,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,635.79 : 1,017,961.80 = 1,017,961.80 : x
  2. Step 2: Convert to fraction form
    471,635.79/1,017,961.80 = 1,017,961.80/x
  3. Step 3: Cross multiply
    471,635.79x = 1,017,961.80 × 1,017,961.80
  4. Step 4: Simplify right side
    471,635.79x = 1,036,246,235,802.63
  5. Step 5: Solve for x
    x = 1,036,246,235,802.63/471,635.79
  6. Step 6: Final answer
    x = 2,197,132.32

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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.