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Finding the Third Proportional to 2,099,416 and 3,148,578

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Solution

The third proportional to 2,099,416 and 3,148,578 is: 4,722,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,416 : 3,148,578 = 3,148,578 : x
  2. Step 2: Convert to fraction form
    2,099,416/3,148,578 = 3,148,578/x
  3. Step 3: Cross multiply
    2,099,416x = 3,148,578 × 3,148,578
  4. Step 4: Simplify right side
    2,099,416x = 9,913,543,422,084
  5. Step 5: Solve for x
    x = 9,913,543,422,084/2,099,416
  6. Step 6: Final answer
    x = 4,722,048.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.