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Finding the Third Proportional to 1,545,550 and 2,364,221

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Solution

The third proportional to 1,545,550 and 2,364,221 is: 3,616,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,550 : 2,364,221 = 2,364,221 : x
  2. Step 2: Convert to fraction form
    1,545,550/2,364,221 = 2,364,221/x
  3. Step 3: Cross multiply
    1,545,550x = 2,364,221 × 2,364,221
  4. Step 4: Simplify right side
    1,545,550x = 5,589,540,936,841
  5. Step 5: Solve for x
    x = 5,589,540,936,841/1,545,550
  6. Step 6: Final answer
    x = 3,616,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.