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Finding the Third Proportional to 1,833,902.02 and 3,982,885.80

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Solution

The third proportional to 1,833,902.02 and 3,982,885.80 is: 8,650,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,902.02 : 3,982,885.80 = 3,982,885.80 : x
  2. Step 2: Convert to fraction form
    1,833,902.02/3,982,885.80 = 3,982,885.80/x
  3. Step 3: Cross multiply
    1,833,902.02x = 3,982,885.80 × 3,982,885.80
  4. Step 4: Simplify right side
    1,833,902.02x = 15,863,379,333,181.99
  5. Step 5: Solve for x
    x = 15,863,379,333,181.99/1,833,902.02
  6. Step 6: Final answer
    x = 8,650,069.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.