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Finding the Third Proportional to 2,300,037 and 5,042,946

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Solution

The third proportional to 2,300,037 and 5,042,946 is: 11,056,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,037 : 5,042,946 = 5,042,946 : x
  2. Step 2: Convert to fraction form
    2,300,037/5,042,946 = 5,042,946/x
  3. Step 3: Cross multiply
    2,300,037x = 5,042,946 × 5,042,946
  4. Step 4: Simplify right side
    2,300,037x = 25,431,304,358,916
  5. Step 5: Solve for x
    x = 25,431,304,358,916/2,300,037
  6. Step 6: Final answer
    x = 11,056,910.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.