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Finding the Third Proportional to 1,553,837 and 3,416,029

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Solution

The third proportional to 1,553,837 and 3,416,029 is: 7,509,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553,837 : 3,416,029 = 3,416,029 : x
  2. Step 2: Convert to fraction form
    1,553,837/3,416,029 = 3,416,029/x
  3. Step 3: Cross multiply
    1,553,837x = 3,416,029 × 3,416,029
  4. Step 4: Simplify right side
    1,553,837x = 11,669,254,128,841
  5. Step 5: Solve for x
    x = 11,669,254,128,841/1,553,837
  6. Step 6: Final answer
    x = 7,509,960.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.