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Finding the Third Proportional to 1,564,112 and 3,427,195

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Solution

The third proportional to 1,564,112 and 3,427,195 is: 7,509,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,112 : 3,427,195 = 3,427,195 : x
  2. Step 2: Convert to fraction form
    1,564,112/3,427,195 = 3,427,195/x
  3. Step 3: Cross multiply
    1,564,112x = 3,427,195 × 3,427,195
  4. Step 4: Simplify right side
    1,564,112x = 11,745,665,568,025
  5. Step 5: Solve for x
    x = 11,745,665,568,025/1,564,112
  6. Step 6: Final answer
    x = 7,509,478.58

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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.