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Finding the Third Proportional to 1,308,782 and 2,768,464

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Solution

The third proportional to 1,308,782 and 2,768,464 is: 5,856,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,782 : 2,768,464 = 2,768,464 : x
  2. Step 2: Convert to fraction form
    1,308,782/2,768,464 = 2,768,464/x
  3. Step 3: Cross multiply
    1,308,782x = 2,768,464 × 2,768,464
  4. Step 4: Simplify right side
    1,308,782x = 7,664,392,919,296
  5. Step 5: Solve for x
    x = 7,664,392,919,296/1,308,782
  6. Step 6: Final answer
    x = 5,856,126.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.