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Finding the Third Proportional to 463,549.85 and 962,627.06

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Solution

The third proportional to 463,549.85 and 962,627.06 is: 1,999,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,549.85 : 962,627.06 = 962,627.06 : x
  2. Step 2: Convert to fraction form
    463,549.85/962,627.06 = 962,627.06/x
  3. Step 3: Cross multiply
    463,549.85x = 962,627.06 × 962,627.06
  4. Step 4: Simplify right side
    463,549.85x = 926,650,861,457.38
  5. Step 5: Solve for x
    x = 926,650,861,457.38/463,549.85
  6. Step 6: Final answer
    x = 1,999,031.73

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.