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Finding the Third Proportional to 473,186.50 and 1,040,994.91

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Solution

The third proportional to 473,186.50 and 1,040,994.91 is: 2,290,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,186.50 : 1,040,994.91 = 1,040,994.91 : x
  2. Step 2: Convert to fraction form
    473,186.50/1,040,994.91 = 1,040,994.91/x
  3. Step 3: Cross multiply
    473,186.50x = 1,040,994.91 × 1,040,994.91
  4. Step 4: Simplify right side
    473,186.50x = 1,083,670,411,103.99
  5. Step 5: Solve for x
    x = 1,083,670,411,103.99/473,186.50
  6. Step 6: Final answer
    x = 2,290,154.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.