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Finding the Third Proportional to 753,704 and 1,616,608

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Solution

The third proportional to 753,704 and 1,616,608 is: 3,467,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,704 : 1,616,608 = 1,616,608 : x
  2. Step 2: Convert to fraction form
    753,704/1,616,608 = 1,616,608/x
  3. Step 3: Cross multiply
    753,704x = 1,616,608 × 1,616,608
  4. Step 4: Simplify right side
    753,704x = 2,613,421,425,664
  5. Step 5: Solve for x
    x = 2,613,421,425,664/753,704
  6. Step 6: Final answer
    x = 3,467,437.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.