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Finding the Third Proportional to 415,087 and 911,410

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Solution

The third proportional to 415,087 and 911,410 is: 2,001,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087 : 911,410 = 911,410 : x
  2. Step 2: Convert to fraction form
    415,087/911,410 = 911,410/x
  3. Step 3: Cross multiply
    415,087x = 911,410 × 911,410
  4. Step 4: Simplify right side
    415,087x = 830,668,188,100
  5. Step 5: Solve for x
    x = 830,668,188,100/415,087
  6. Step 6: Final answer
    x = 2,001,190.57

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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.