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Finding the Third Proportional to 2,748,780 and 4,194,267.75

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Solution

The third proportional to 2,748,780 and 4,194,267.75 is: 6,399,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,780 : 4,194,267.75 = 4,194,267.75 : x
  2. Step 2: Convert to fraction form
    2,748,780/4,194,267.75 = 4,194,267.75/x
  3. Step 3: Cross multiply
    2,748,780x = 4,194,267.75 × 4,194,267.75
  4. Step 4: Simplify right side
    2,748,780x = 17,591,881,958,690.06
  5. Step 5: Solve for x
    x = 17,591,881,958,690.06/2,748,780
  6. Step 6: Final answer
    x = 6,399,887.21

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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.