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Finding the Third Proportional to 1,556,512 and 3,408,264

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Solution

The third proportional to 1,556,512 and 3,408,264 is: 7,463,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556,512 : 3,408,264 = 3,408,264 : x
  2. Step 2: Convert to fraction form
    1,556,512/3,408,264 = 3,408,264/x
  3. Step 3: Cross multiply
    1,556,512x = 3,408,264 × 3,408,264
  4. Step 4: Simplify right side
    1,556,512x = 11,616,263,493,696
  5. Step 5: Solve for x
    x = 11,616,263,493,696/1,556,512
  6. Step 6: Final answer
    x = 7,463,009.28

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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.