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Finding the Third Proportional to 383,945.06 and 837,874.13

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Solution

The third proportional to 383,945.06 and 837,874.13 is: 1,828,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,945.06 : 837,874.13 = 837,874.13 : x
  2. Step 2: Convert to fraction form
    383,945.06/837,874.13 = 837,874.13/x
  3. Step 3: Cross multiply
    383,945.06x = 837,874.13 × 837,874.13
  4. Step 4: Simplify right side
    383,945.06x = 702,033,049,344.52
  5. Step 5: Solve for x
    x = 702,033,049,344.52/383,945.06
  6. Step 6: Final answer
    x = 1,828,472.66

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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.