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Finding the Third Proportional to 579,725.86 and 1,245,154.78

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Solution

The third proportional to 579,725.86 and 1,245,154.78 is: 2,674,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,725.86 : 1,245,154.78 = 1,245,154.78 : x
  2. Step 2: Convert to fraction form
    579,725.86/1,245,154.78 = 1,245,154.78/x
  3. Step 3: Cross multiply
    579,725.86x = 1,245,154.78 × 1,245,154.78
  4. Step 4: Simplify right side
    579,725.86x = 1,550,410,429,269.74
  5. Step 5: Solve for x
    x = 1,550,410,429,269.74/579,725.86
  6. Step 6: Final answer
    x = 2,674,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.