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Finding the Third Proportional to 469,045.06 and 1,106,138.56

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Solution

The third proportional to 469,045.06 and 1,106,138.56 is: 2,608,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,045.06 : 1,106,138.56 = 1,106,138.56 : x
  2. Step 2: Convert to fraction form
    469,045.06/1,106,138.56 = 1,106,138.56/x
  3. Step 3: Cross multiply
    469,045.06x = 1,106,138.56 × 1,106,138.56
  4. Step 4: Simplify right side
    469,045.06x = 1,223,542,519,449.57
  5. Step 5: Solve for x
    x = 1,223,542,519,449.57/469,045.06
  6. Step 6: Final answer
    x = 2,608,582.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.