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Finding the Third Proportional to 1,307,652.75 and 2,821,733.44

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Solution

The third proportional to 1,307,652.75 and 2,821,733.44 is: 6,088,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,652.75 : 2,821,733.44 = 2,821,733.44 : x
  2. Step 2: Convert to fraction form
    1,307,652.75/2,821,733.44 = 2,821,733.44/x
  3. Step 3: Cross multiply
    1,307,652.75x = 2,821,733.44 × 2,821,733.44
  4. Step 4: Simplify right side
    1,307,652.75x = 7,962,179,592,305.57
  5. Step 5: Solve for x
    x = 7,962,179,592,305.57/1,307,652.75
  6. Step 6: Final answer
    x = 6,088,909.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.