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Finding the Third Proportional to 415,540.69 and 909,901.69

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Solution

The third proportional to 415,540.69 and 909,901.69 is: 1,992,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,540.69 : 909,901.69 = 909,901.69 : x
  2. Step 2: Convert to fraction form
    415,540.69/909,901.69 = 909,901.69/x
  3. Step 3: Cross multiply
    415,540.69x = 909,901.69 × 909,901.69
  4. Step 4: Simplify right side
    415,540.69x = 827,921,080,915.35
  5. Step 5: Solve for x
    x = 827,921,080,915.35/415,540.69
  6. Step 6: Final answer
    x = 1,992,394.74

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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.