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Finding the Third Proportional to 479,152.50 and 1,024,786.50

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Solution

The third proportional to 479,152.50 and 1,024,786.50 is: 2,191,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,152.50 : 1,024,786.50 = 1,024,786.50 : x
  2. Step 2: Convert to fraction form
    479,152.50/1,024,786.50 = 1,024,786.50/x
  3. Step 3: Cross multiply
    479,152.50x = 1,024,786.50 × 1,024,786.50
  4. Step 4: Simplify right side
    479,152.50x = 1,050,187,370,582.25
  5. Step 5: Solve for x
    x = 1,050,187,370,582.25/479,152.50
  6. Step 6: Final answer
    x = 2,191,760.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.