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Finding the Third Proportional to 415,194 and 909,612

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Solution

The third proportional to 415,194 and 909,612 is: 1,992,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,194 : 909,612 = 909,612 : x
  2. Step 2: Convert to fraction form
    415,194/909,612 = 909,612/x
  3. Step 3: Cross multiply
    415,194x = 909,612 × 909,612
  4. Step 4: Simplify right side
    415,194x = 827,393,990,544
  5. Step 5: Solve for x
    x = 827,393,990,544/415,194
  6. Step 6: Final answer
    x = 1,992,788.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.