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Finding the Third Proportional to 1,217,268 and 1,780,830

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Solution

The third proportional to 1,217,268 and 1,780,830 is: 2,605,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,268 : 1,780,830 = 1,780,830 : x
  2. Step 2: Convert to fraction form
    1,217,268/1,780,830 = 1,780,830/x
  3. Step 3: Cross multiply
    1,217,268x = 1,780,830 × 1,780,830
  4. Step 4: Simplify right side
    1,217,268x = 3,171,355,488,900
  5. Step 5: Solve for x
    x = 3,171,355,488,900/1,217,268
  6. Step 6: Final answer
    x = 2,605,305.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.