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Finding the Third Proportional to 2,782,798.50 and 4,256,960.06

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Solution

The third proportional to 2,782,798.50 and 4,256,960.06 is: 6,512,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,798.50 : 4,256,960.06 = 4,256,960.06 : x
  2. Step 2: Convert to fraction form
    2,782,798.50/4,256,960.06 = 4,256,960.06/x
  3. Step 3: Cross multiply
    2,782,798.50x = 4,256,960.06 × 4,256,960.06
  4. Step 4: Simplify right side
    2,782,798.50x = 18,121,708,973,720.00
  5. Step 5: Solve for x
    x = 18,121,708,973,720.00/2,782,798.50
  6. Step 6: Final answer
    x = 6,512,044.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.