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Finding the Third Proportional to 713,106 and 1,566,162

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Solution

The third proportional to 713,106 and 1,566,162 is: 3,439,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,106 : 1,566,162 = 1,566,162 : x
  2. Step 2: Convert to fraction form
    713,106/1,566,162 = 1,566,162/x
  3. Step 3: Cross multiply
    713,106x = 1,566,162 × 1,566,162
  4. Step 4: Simplify right side
    713,106x = 2,452,863,410,244
  5. Step 5: Solve for x
    x = 2,452,863,410,244/713,106
  6. Step 6: Final answer
    x = 3,439,689.77

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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.