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Finding the Third Proportional to 827,401.50 and 1,785,510

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Solution

The third proportional to 827,401.50 and 1,785,510 is: 3,853,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,401.50 : 1,785,510 = 1,785,510 : x
  2. Step 2: Convert to fraction form
    827,401.50/1,785,510 = 1,785,510/x
  3. Step 3: Cross multiply
    827,401.50x = 1,785,510 × 1,785,510
  4. Step 4: Simplify right side
    827,401.50x = 3,188,045,960,100
  5. Step 5: Solve for x
    x = 3,188,045,960,100/827,401.50
  6. Step 6: Final answer
    x = 3,853,082.16

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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.