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Finding the Third Proportional to 762,240 and 1,186,884

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Solution

The third proportional to 762,240 and 1,186,884 is: 1,848,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,240 : 1,186,884 = 1,186,884 : x
  2. Step 2: Convert to fraction form
    762,240/1,186,884 = 1,186,884/x
  3. Step 3: Cross multiply
    762,240x = 1,186,884 × 1,186,884
  4. Step 4: Simplify right side
    762,240x = 1,408,693,629,456
  5. Step 5: Solve for x
    x = 1,408,693,629,456/762,240
  6. Step 6: Final answer
    x = 1,848,097.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.