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Finding the Third Proportional to 1,606,544 and 3,346,272

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Solution

The third proportional to 1,606,544 and 3,346,272 is: 6,969,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,544 : 3,346,272 = 3,346,272 : x
  2. Step 2: Convert to fraction form
    1,606,544/3,346,272 = 3,346,272/x
  3. Step 3: Cross multiply
    1,606,544x = 3,346,272 × 3,346,272
  4. Step 4: Simplify right side
    1,606,544x = 11,197,536,297,984
  5. Step 5: Solve for x
    x = 11,197,536,297,984/1,606,544
  6. Step 6: Final answer
    x = 6,969,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.