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Finding the Third Proportional to 383,955 and 837,786

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Solution

The third proportional to 383,955 and 837,786 is: 1,828,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,955 : 837,786 = 837,786 : x
  2. Step 2: Convert to fraction form
    383,955/837,786 = 837,786/x
  3. Step 3: Cross multiply
    383,955x = 837,786 × 837,786
  4. Step 4: Simplify right side
    383,955x = 701,885,381,796
  5. Step 5: Solve for x
    x = 701,885,381,796/383,955
  6. Step 6: Final answer
    x = 1,828,040.74

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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.