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Finding the Third Proportional to 916,713 and 2,016,162

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Solution

The third proportional to 916,713 and 2,016,162 is: 4,434,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,713 : 2,016,162 = 2,016,162 : x
  2. Step 2: Convert to fraction form
    916,713/2,016,162 = 2,016,162/x
  3. Step 3: Cross multiply
    916,713x = 2,016,162 × 2,016,162
  4. Step 4: Simplify right side
    916,713x = 4,064,909,210,244
  5. Step 5: Solve for x
    x = 4,064,909,210,244/916,713
  6. Step 6: Final answer
    x = 4,434,222.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.