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Finding the Third Proportional to 752,133 and 1,609,239

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Solution

The third proportional to 752,133 and 1,609,239 is: 3,443,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,133 : 1,609,239 = 1,609,239 : x
  2. Step 2: Convert to fraction form
    752,133/1,609,239 = 1,609,239/x
  3. Step 3: Cross multiply
    752,133x = 1,609,239 × 1,609,239
  4. Step 4: Simplify right side
    752,133x = 2,589,650,159,121
  5. Step 5: Solve for x
    x = 2,589,650,159,121/752,133
  6. Step 6: Final answer
    x = 3,443,074.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.