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Finding the Third Proportional to 1,018,716.75 and 2,121,086.25

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Solution

The third proportional to 1,018,716.75 and 2,121,086.25 is: 4,416,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,716.75 : 2,121,086.25 = 2,121,086.25 : x
  2. Step 2: Convert to fraction form
    1,018,716.75/2,121,086.25 = 2,121,086.25/x
  3. Step 3: Cross multiply
    1,018,716.75x = 2,121,086.25 × 2,121,086.25
  4. Step 4: Simplify right side
    1,018,716.75x = 4,499,006,879,939.06
  5. Step 5: Solve for x
    x = 4,499,006,879,939.06/1,018,716.75
  6. Step 6: Final answer
    x = 4,416,347.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.