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Finding the Third Proportional to 829,333.69 and 1,251,609.47

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Solution

The third proportional to 829,333.69 and 1,251,609.47 is: 1,888,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,333.69 : 1,251,609.47 = 1,251,609.47 : x
  2. Step 2: Convert to fraction form
    829,333.69/1,251,609.47 = 1,251,609.47/x
  3. Step 3: Cross multiply
    829,333.69x = 1,251,609.47 × 1,251,609.47
  4. Step 4: Simplify right side
    829,333.69x = 1,566,526,262,264.66
  5. Step 5: Solve for x
    x = 1,566,526,262,264.66/829,333.69
  6. Step 6: Final answer
    x = 1,888,897.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.