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Finding the Third Proportional to 1,674,116 and 3,661,216

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Solution

The third proportional to 1,674,116 and 3,661,216 is: 8,006,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,116 : 3,661,216 = 3,661,216 : x
  2. Step 2: Convert to fraction form
    1,674,116/3,661,216 = 3,661,216/x
  3. Step 3: Cross multiply
    1,674,116x = 3,661,216 × 3,661,216
  4. Step 4: Simplify right side
    1,674,116x = 13,404,502,598,656
  5. Step 5: Solve for x
    x = 13,404,502,598,656/1,674,116
  6. Step 6: Final answer
    x = 8,006,913.86

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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.