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Finding the Third Proportional to 762,080 and 1,609,696

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Solution

The third proportional to 762,080 and 1,609,696 is: 3,400,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,080 : 1,609,696 = 1,609,696 : x
  2. Step 2: Convert to fraction form
    762,080/1,609,696 = 1,609,696/x
  3. Step 3: Cross multiply
    762,080x = 1,609,696 × 1,609,696
  4. Step 4: Simplify right side
    762,080x = 2,591,121,212,416
  5. Step 5: Solve for x
    x = 2,591,121,212,416/762,080
  6. Step 6: Final answer
    x = 3,400,064.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.