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Finding the Third Proportional to 828,423 and 1,811,910

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Solution

The third proportional to 828,423 and 1,811,910 is: 3,962,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,423 : 1,811,910 = 1,811,910 : x
  2. Step 2: Convert to fraction form
    828,423/1,811,910 = 1,811,910/x
  3. Step 3: Cross multiply
    828,423x = 1,811,910 × 1,811,910
  4. Step 4: Simplify right side
    828,423x = 3,283,017,848,100
  5. Step 5: Solve for x
    x = 3,283,017,848,100/828,423
  6. Step 6: Final answer
    x = 3,962,972.84

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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.