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Finding the Third Proportional to 638,187 and 1,346,088

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Solution

The third proportional to 638,187 and 1,346,088 is: 2,839,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,187 : 1,346,088 = 1,346,088 : x
  2. Step 2: Convert to fraction form
    638,187/1,346,088 = 1,346,088/x
  3. Step 3: Cross multiply
    638,187x = 1,346,088 × 1,346,088
  4. Step 4: Simplify right side
    638,187x = 1,811,952,903,744
  5. Step 5: Solve for x
    x = 1,811,952,903,744/638,187
  6. Step 6: Final answer
    x = 2,839,219.39

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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.