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Finding the Third Proportional to 415,546.88 and 909,914.63

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Solution

The third proportional to 415,546.88 and 909,914.63 is: 1,992,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,546.88 : 909,914.63 = 909,914.63 : x
  2. Step 2: Convert to fraction form
    415,546.88/909,914.63 = 909,914.63/x
  3. Step 3: Cross multiply
    415,546.88x = 909,914.63 × 909,914.63
  4. Step 4: Simplify right side
    415,546.88x = 827,944,624,788.89
  5. Step 5: Solve for x
    x = 827,944,624,788.89/415,546.88
  6. Step 6: Final answer
    x = 1,992,421.73

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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.