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Finding the Third Proportional to 1,071,690 and 2,311,647

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Solution

The third proportional to 1,071,690 and 2,311,647 is: 4,986,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,690 : 2,311,647 = 2,311,647 : x
  2. Step 2: Convert to fraction form
    1,071,690/2,311,647 = 2,311,647/x
  3. Step 3: Cross multiply
    1,071,690x = 2,311,647 × 2,311,647
  4. Step 4: Simplify right side
    1,071,690x = 5,343,711,852,609
  5. Step 5: Solve for x
    x = 5,343,711,852,609/1,071,690
  6. Step 6: Final answer
    x = 4,986,247.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.