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Finding the Third Proportional to 1,706,116 and 3,733,640

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Solution

The third proportional to 1,706,116 and 3,733,640 is: 8,170,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,116 : 3,733,640 = 3,733,640 : x
  2. Step 2: Convert to fraction form
    1,706,116/3,733,640 = 3,733,640/x
  3. Step 3: Cross multiply
    1,706,116x = 3,733,640 × 3,733,640
  4. Step 4: Simplify right side
    1,706,116x = 13,940,067,649,600
  5. Step 5: Solve for x
    x = 13,940,067,649,600/1,706,116
  6. Step 6: Final answer
    x = 8,170,644.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.