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Finding the Third Proportional to 443,827.69 and 970,690.50

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Solution

The third proportional to 443,827.69 and 970,690.50 is: 2,122,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,827.69 : 970,690.50 = 970,690.50 : x
  2. Step 2: Convert to fraction form
    443,827.69/970,690.50 = 970,690.50/x
  3. Step 3: Cross multiply
    443,827.69x = 970,690.50 × 970,690.50
  4. Step 4: Simplify right side
    443,827.69x = 942,240,046,790.25
  5. Step 5: Solve for x
    x = 942,240,046,790.25/443,827.69
  6. Step 6: Final answer
    x = 2,122,986.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.