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Finding the Third Proportional to 473,806 and 1,036,185

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Solution

The third proportional to 473,806 and 1,036,185 is: 2,266,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,806 : 1,036,185 = 1,036,185 : x
  2. Step 2: Convert to fraction form
    473,806/1,036,185 = 1,036,185/x
  3. Step 3: Cross multiply
    473,806x = 1,036,185 × 1,036,185
  4. Step 4: Simplify right side
    473,806x = 1,073,679,354,225
  5. Step 5: Solve for x
    x = 1,073,679,354,225/473,806
  6. Step 6: Final answer
    x = 2,266,073.78

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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.