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Finding the Third Proportional to 1,313,052 and 2,856,164.25

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Solution

The third proportional to 1,313,052 and 2,856,164.25 is: 6,212,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,052 : 2,856,164.25 = 2,856,164.25 : x
  2. Step 2: Convert to fraction form
    1,313,052/2,856,164.25 = 2,856,164.25/x
  3. Step 3: Cross multiply
    1,313,052x = 2,856,164.25 × 2,856,164.25
  4. Step 4: Simplify right side
    1,313,052x = 8,157,674,222,978.06
  5. Step 5: Solve for x
    x = 8,157,674,222,978.06/1,313,052
  6. Step 6: Final answer
    x = 6,212,757.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.