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Finding the Third Proportional to 1,960,416 and 2,998,296

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Solution

The third proportional to 1,960,416 and 2,998,296 is: 4,585,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,416 : 2,998,296 = 2,998,296 : x
  2. Step 2: Convert to fraction form
    1,960,416/2,998,296 = 2,998,296/x
  3. Step 3: Cross multiply
    1,960,416x = 2,998,296 × 2,998,296
  4. Step 4: Simplify right side
    1,960,416x = 8,989,778,903,616
  5. Step 5: Solve for x
    x = 8,989,778,903,616/1,960,416
  6. Step 6: Final answer
    x = 4,585,648.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.