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Finding the Third Proportional to 415,779 and 880,635

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Solution

The third proportional to 415,779 and 880,635 is: 1,865,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,779 : 880,635 = 880,635 : x
  2. Step 2: Convert to fraction form
    415,779/880,635 = 880,635/x
  3. Step 3: Cross multiply
    415,779x = 880,635 × 880,635
  4. Step 4: Simplify right side
    415,779x = 775,518,003,225
  5. Step 5: Solve for x
    x = 775,518,003,225/415,779
  6. Step 6: Final answer
    x = 1,865,216.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.