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Finding the Third Proportional to 1,610,247.09 and 3,504,508.03

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Solution

The third proportional to 1,610,247.09 and 3,504,508.03 is: 7,627,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,247.09 : 3,504,508.03 = 3,504,508.03 : x
  2. Step 2: Convert to fraction form
    1,610,247.09/3,504,508.03 = 3,504,508.03/x
  3. Step 3: Cross multiply
    1,610,247.09x = 3,504,508.03 × 3,504,508.03
  4. Step 4: Simplify right side
    1,610,247.09x = 12,281,576,541,095.75
  5. Step 5: Solve for x
    x = 12,281,576,541,095.75/1,610,247.09
  6. Step 6: Final answer
    x = 7,627,137.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.