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Finding the Third Proportional to 1,051,612.88 and 2,263,145.06

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Solution

The third proportional to 1,051,612.88 and 2,263,145.06 is: 4,870,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,612.88 : 2,263,145.06 = 2,263,145.06 : x
  2. Step 2: Convert to fraction form
    1,051,612.88/2,263,145.06 = 2,263,145.06/x
  3. Step 3: Cross multiply
    1,051,612.88x = 2,263,145.06 × 2,263,145.06
  4. Step 4: Simplify right side
    1,051,612.88x = 5,121,825,573,918.13
  5. Step 5: Solve for x
    x = 5,121,825,573,918.13/1,051,612.88
  6. Step 6: Final answer
    x = 4,870,447.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.