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Finding the Third Proportional to 971,148 and 2,135,022

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Solution

The third proportional to 971,148 and 2,135,022 is: 4,693,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,148 : 2,135,022 = 2,135,022 : x
  2. Step 2: Convert to fraction form
    971,148/2,135,022 = 2,135,022/x
  3. Step 3: Cross multiply
    971,148x = 2,135,022 × 2,135,022
  4. Step 4: Simplify right side
    971,148x = 4,558,318,940,484
  5. Step 5: Solve for x
    x = 4,558,318,940,484/971,148
  6. Step 6: Final answer
    x = 4,693,742.81

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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.