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Finding the Third Proportional to 2,782,803 and 4,256,967

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Solution

The third proportional to 2,782,803 and 4,256,967 is: 6,512,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,803 : 4,256,967 = 4,256,967 : x
  2. Step 2: Convert to fraction form
    2,782,803/4,256,967 = 4,256,967/x
  3. Step 3: Cross multiply
    2,782,803x = 4,256,967 × 4,256,967
  4. Step 4: Simplify right side
    2,782,803x = 18,121,768,039,089
  5. Step 5: Solve for x
    x = 18,121,768,039,089/2,782,803
  6. Step 6: Final answer
    x = 6,512,055.66

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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.