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Finding the Third Proportional to 1,225,512 and 2,592,336

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Solution

The third proportional to 1,225,512 and 2,592,336 is: 5,483,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,512 : 2,592,336 = 2,592,336 : x
  2. Step 2: Convert to fraction form
    1,225,512/2,592,336 = 2,592,336/x
  3. Step 3: Cross multiply
    1,225,512x = 2,592,336 × 2,592,336
  4. Step 4: Simplify right side
    1,225,512x = 6,720,205,936,896
  5. Step 5: Solve for x
    x = 6,720,205,936,896/1,225,512
  6. Step 6: Final answer
    x = 5,483,590.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.