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Finding the Third Proportional to 825,752.81 and 1,206,764.16

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Solution

The third proportional to 825,752.81 and 1,206,764.16 is: 1,763,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,752.81 : 1,206,764.16 = 1,206,764.16 : x
  2. Step 2: Convert to fraction form
    825,752.81/1,206,764.16 = 1,206,764.16/x
  3. Step 3: Cross multiply
    825,752.81x = 1,206,764.16 × 1,206,764.16
  4. Step 4: Simplify right side
    825,752.81x = 1,456,279,728,809.77
  5. Step 5: Solve for x
    x = 1,456,279,728,809.77/825,752.81
  6. Step 6: Final answer
    x = 1,763,578.28

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Why These Related Problems?

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