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Finding the Third Proportional to 382,860 and 841,779

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Solution

The third proportional to 382,860 and 841,779 is: 1,850,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,860 : 841,779 = 841,779 : x
  2. Step 2: Convert to fraction form
    382,860/841,779 = 841,779/x
  3. Step 3: Cross multiply
    382,860x = 841,779 × 841,779
  4. Step 4: Simplify right side
    382,860x = 708,591,884,841
  5. Step 5: Solve for x
    x = 708,591,884,841/382,860
  6. Step 6: Final answer
    x = 1,850,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.