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Finding the Third Proportional to 2,782,802 and 4,256,964.50

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Solution

The third proportional to 2,782,802 and 4,256,964.50 is: 6,512,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,802 : 4,256,964.50 = 4,256,964.50 : x
  2. Step 2: Convert to fraction form
    2,782,802/4,256,964.50 = 4,256,964.50/x
  3. Step 3: Cross multiply
    2,782,802x = 4,256,964.50 × 4,256,964.50
  4. Step 4: Simplify right side
    2,782,802x = 18,121,746,754,260.25
  5. Step 5: Solve for x
    x = 18,121,746,754,260.25/2,782,802
  6. Step 6: Final answer
    x = 6,512,050.36

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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.