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Finding the Third Proportional to 2,301,268.50 and 3,450,174

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Solution

The third proportional to 2,301,268.50 and 3,450,174 is: 5,172,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,268.50 : 3,450,174 = 3,450,174 : x
  2. Step 2: Convert to fraction form
    2,301,268.50/3,450,174 = 3,450,174/x
  3. Step 3: Cross multiply
    2,301,268.50x = 3,450,174 × 3,450,174
  4. Step 4: Simplify right side
    2,301,268.50x = 11,903,700,630,276
  5. Step 5: Solve for x
    x = 11,903,700,630,276/2,301,268.50
  6. Step 6: Final answer
    x = 5,172,669.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.