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Finding the Third Proportional to 2,164,676 and 4,706,125.75

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Solution

The third proportional to 2,164,676 and 4,706,125.75 is: 10,231,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,676 : 4,706,125.75 = 4,706,125.75 : x
  2. Step 2: Convert to fraction form
    2,164,676/4,706,125.75 = 4,706,125.75/x
  3. Step 3: Cross multiply
    2,164,676x = 4,706,125.75 × 4,706,125.75
  4. Step 4: Simplify right side
    2,164,676x = 22,147,619,574,813.06
  5. Step 5: Solve for x
    x = 22,147,619,574,813.06/2,164,676
  6. Step 6: Final answer
    x = 10,231,378.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.