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Finding the Third Proportional to 965,857 and 2,111,210

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Solution

The third proportional to 965,857 and 2,111,210 is: 4,614,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,857 : 2,111,210 = 2,111,210 : x
  2. Step 2: Convert to fraction form
    965,857/2,111,210 = 2,111,210/x
  3. Step 3: Cross multiply
    965,857x = 2,111,210 × 2,111,210
  4. Step 4: Simplify right side
    965,857x = 4,457,207,664,100
  5. Step 5: Solve for x
    x = 4,457,207,664,100/965,857
  6. Step 6: Final answer
    x = 4,614,769.75

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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.