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Finding the Third Proportional to 997,476 and 2,135,016

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Solution

The third proportional to 997,476 and 2,135,016 is: 4,569,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,476 : 2,135,016 = 2,135,016 : x
  2. Step 2: Convert to fraction form
    997,476/2,135,016 = 2,135,016/x
  3. Step 3: Cross multiply
    997,476x = 2,135,016 × 2,135,016
  4. Step 4: Simplify right side
    997,476x = 4,558,293,320,256
  5. Step 5: Solve for x
    x = 4,558,293,320,256/997,476
  6. Step 6: Final answer
    x = 4,569,827.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.