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Finding the Third Proportional to 1,612,785.94 and 3,518,974.13

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Solution

The third proportional to 1,612,785.94 and 3,518,974.13 is: 7,678,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,785.94 : 3,518,974.13 = 3,518,974.13 : x
  2. Step 2: Convert to fraction form
    1,612,785.94/3,518,974.13 = 3,518,974.13/x
  3. Step 3: Cross multiply
    1,612,785.94x = 3,518,974.13 × 3,518,974.13
  4. Step 4: Simplify right side
    1,612,785.94x = 12,383,178,892,419.52
  5. Step 5: Solve for x
    x = 12,383,178,892,419.52/1,612,785.94
  6. Step 6: Final answer
    x = 7,678,129.26

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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.