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Finding the Third Proportional to 473,827 and 1,036,229

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Solution

The third proportional to 473,827 and 1,036,229 is: 2,266,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,827 : 1,036,229 = 1,036,229 : x
  2. Step 2: Convert to fraction form
    473,827/1,036,229 = 1,036,229/x
  3. Step 3: Cross multiply
    473,827x = 1,036,229 × 1,036,229
  4. Step 4: Simplify right side
    473,827x = 1,073,770,540,441
  5. Step 5: Solve for x
    x = 1,073,770,540,441/473,827
  6. Step 6: Final answer
    x = 2,266,165.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.