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Finding the Third Proportional to 383,966 and 837,807

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Solution

The third proportional to 383,966 and 837,807 is: 1,828,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,966 : 837,807 = 837,807 : x
  2. Step 2: Convert to fraction form
    383,966/837,807 = 837,807/x
  3. Step 3: Cross multiply
    383,966x = 837,807 × 837,807
  4. Step 4: Simplify right side
    383,966x = 701,920,569,249
  5. Step 5: Solve for x
    x = 701,920,569,249/383,966
  6. Step 6: Final answer
    x = 1,828,080.01

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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.