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Finding the Third Proportional to 534,923 and 1,165,802.50

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Solution

The third proportional to 534,923 and 1,165,802.50 is: 2,540,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,923 : 1,165,802.50 = 1,165,802.50 : x
  2. Step 2: Convert to fraction form
    534,923/1,165,802.50 = 1,165,802.50/x
  3. Step 3: Cross multiply
    534,923x = 1,165,802.50 × 1,165,802.50
  4. Step 4: Simplify right side
    534,923x = 1,359,095,469,006.25
  5. Step 5: Solve for x
    x = 1,359,095,469,006.25/534,923
  6. Step 6: Final answer
    x = 2,540,731.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.