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Finding the Third Proportional to 612,096.75 and 1,332,612

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Solution

The third proportional to 612,096.75 and 1,332,612 is: 2,901,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,096.75 : 1,332,612 = 1,332,612 : x
  2. Step 2: Convert to fraction form
    612,096.75/1,332,612 = 1,332,612/x
  3. Step 3: Cross multiply
    612,096.75x = 1,332,612 × 1,332,612
  4. Step 4: Simplify right side
    612,096.75x = 1,775,854,742,544
  5. Step 5: Solve for x
    x = 1,775,854,742,544/612,096.75
  6. Step 6: Final answer
    x = 2,901,264.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.