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Finding the Third Proportional to 2,829,697 and 4,000,105

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Solution

The third proportional to 2,829,697 and 4,000,105 is: 5,654,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,697 : 4,000,105 = 4,000,105 : x
  2. Step 2: Convert to fraction form
    2,829,697/4,000,105 = 4,000,105/x
  3. Step 3: Cross multiply
    2,829,697x = 4,000,105 × 4,000,105
  4. Step 4: Simplify right side
    2,829,697x = 16,000,840,011,025
  5. Step 5: Solve for x
    x = 16,000,840,011,025/2,829,697
  6. Step 6: Final answer
    x = 5,654,612.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.