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Finding the Third Proportional to 2,477,238 and 3,828,578

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Solution

The third proportional to 2,477,238 and 3,828,578 is: 5,917,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,238 : 3,828,578 = 3,828,578 : x
  2. Step 2: Convert to fraction form
    2,477,238/3,828,578 = 3,828,578/x
  3. Step 3: Cross multiply
    2,477,238x = 3,828,578 × 3,828,578
  4. Step 4: Simplify right side
    2,477,238x = 14,658,009,502,084
  5. Step 5: Solve for x
    x = 14,658,009,502,084/2,477,238
  6. Step 6: Final answer
    x = 5,917,077.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.