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Finding the Third Proportional to 473,305.75 and 1,018,782.25

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Solution

The third proportional to 473,305.75 and 1,018,782.25 is: 2,192,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,305.75 : 1,018,782.25 = 1,018,782.25 : x
  2. Step 2: Convert to fraction form
    473,305.75/1,018,782.25 = 1,018,782.25/x
  3. Step 3: Cross multiply
    473,305.75x = 1,018,782.25 × 1,018,782.25
  4. Step 4: Simplify right side
    473,305.75x = 1,037,917,272,915.06
  5. Step 5: Solve for x
    x = 1,037,917,272,915.06/473,305.75
  6. Step 6: Final answer
    x = 2,192,910.76

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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.