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Finding the Third Proportional to 1,648,887 and 3,633,206

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Solution

The third proportional to 1,648,887 and 3,633,206 is: 8,005,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,887 : 3,633,206 = 3,633,206 : x
  2. Step 2: Convert to fraction form
    1,648,887/3,633,206 = 3,633,206/x
  3. Step 3: Cross multiply
    1,648,887x = 3,633,206 × 3,633,206
  4. Step 4: Simplify right side
    1,648,887x = 13,200,185,838,436
  5. Step 5: Solve for x
    x = 13,200,185,838,436/1,648,887
  6. Step 6: Final answer
    x = 8,005,512.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.