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Finding the Third Proportional to 1,206,429.19 and 2,512,094.34

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Solution

The third proportional to 1,206,429.19 and 2,512,094.34 is: 5,230,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,429.19 : 2,512,094.34 = 2,512,094.34 : x
  2. Step 2: Convert to fraction form
    1,206,429.19/2,512,094.34 = 2,512,094.34/x
  3. Step 3: Cross multiply
    1,206,429.19x = 2,512,094.34 × 2,512,094.34
  4. Step 4: Simplify right side
    1,206,429.19x = 6,310,617,991,900.74
  5. Step 5: Solve for x
    x = 6,310,617,991,900.74/1,206,429.19
  6. Step 6: Final answer
    x = 5,230,823.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.