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Finding the Third Proportional to 2,659,672.50 and 4,212,174

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Solution

The third proportional to 2,659,672.50 and 4,212,174 is: 6,670,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659,672.50 : 4,212,174 = 4,212,174 : x
  2. Step 2: Convert to fraction form
    2,659,672.50/4,212,174 = 4,212,174/x
  3. Step 3: Cross multiply
    2,659,672.50x = 4,212,174 × 4,212,174
  4. Step 4: Simplify right side
    2,659,672.50x = 17,742,409,806,276
  5. Step 5: Solve for x
    x = 17,742,409,806,276/2,659,672.50
  6. Step 6: Final answer
    x = 6,670,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.