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Finding the Third Proportional to 1,204,072 and 1,640,001

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Solution

The third proportional to 1,204,072 and 1,640,001 is: 2,233,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,072 : 1,640,001 = 1,640,001 : x
  2. Step 2: Convert to fraction form
    1,204,072/1,640,001 = 1,640,001/x
  3. Step 3: Cross multiply
    1,204,072x = 1,640,001 × 1,640,001
  4. Step 4: Simplify right side
    1,204,072x = 2,689,603,280,001
  5. Step 5: Solve for x
    x = 2,689,603,280,001/1,204,072
  6. Step 6: Final answer
    x = 2,233,756.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.