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Finding the Third Proportional to 686,187 and 1,505,295

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Solution

The third proportional to 686,187 and 1,505,295 is: 3,302,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,187 : 1,505,295 = 1,505,295 : x
  2. Step 2: Convert to fraction form
    686,187/1,505,295 = 1,505,295/x
  3. Step 3: Cross multiply
    686,187x = 1,505,295 × 1,505,295
  4. Step 4: Simplify right side
    686,187x = 2,265,913,037,025
  5. Step 5: Solve for x
    x = 2,265,913,037,025/686,187
  6. Step 6: Final answer
    x = 3,302,180.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.