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Finding the Third Proportional to 596,919 and 1,288,368.75

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Solution

The third proportional to 596,919 and 1,288,368.75 is: 2,780,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,919 : 1,288,368.75 = 1,288,368.75 : x
  2. Step 2: Convert to fraction form
    596,919/1,288,368.75 = 1,288,368.75/x
  3. Step 3: Cross multiply
    596,919x = 1,288,368.75 × 1,288,368.75
  4. Step 4: Simplify right side
    596,919x = 1,659,894,035,976.56
  5. Step 5: Solve for x
    x = 1,659,894,035,976.56/596,919
  6. Step 6: Final answer
    x = 2,780,769.31

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