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Finding the Third Proportional to 811,494 and 1,762,956

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Solution

The third proportional to 811,494 and 1,762,956 is: 3,829,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,494 : 1,762,956 = 1,762,956 : x
  2. Step 2: Convert to fraction form
    811,494/1,762,956 = 1,762,956/x
  3. Step 3: Cross multiply
    811,494x = 1,762,956 × 1,762,956
  4. Step 4: Simplify right side
    811,494x = 3,108,013,857,936
  5. Step 5: Solve for x
    x = 3,108,013,857,936/811,494
  6. Step 6: Final answer
    x = 3,829,989.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.