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Finding the Third Proportional to 464,428.69 and 941,923.69

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Solution

The third proportional to 464,428.69 and 941,923.69 is: 1,910,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,428.69 : 941,923.69 = 941,923.69 : x
  2. Step 2: Convert to fraction form
    464,428.69/941,923.69 = 941,923.69/x
  3. Step 3: Cross multiply
    464,428.69x = 941,923.69 × 941,923.69
  4. Step 4: Simplify right side
    464,428.69x = 887,220,233,073.60
  5. Step 5: Solve for x
    x = 887,220,233,073.60/464,428.69
  6. Step 6: Final answer
    x = 1,910,347.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.