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Finding the Third Proportional to 1,536,546 and 3,319,286

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Solution

The third proportional to 1,536,546 and 3,319,286 is: 7,170,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,546 : 3,319,286 = 3,319,286 : x
  2. Step 2: Convert to fraction form
    1,536,546/3,319,286 = 3,319,286/x
  3. Step 3: Cross multiply
    1,536,546x = 3,319,286 × 3,319,286
  4. Step 4: Simplify right side
    1,536,546x = 11,017,659,549,796
  5. Step 5: Solve for x
    x = 11,017,659,549,796/1,536,546
  6. Step 6: Final answer
    x = 7,170,406.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.