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Finding the Third Proportional to 823,587.75 and 1,924,104.38

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Solution

The third proportional to 823,587.75 and 1,924,104.38 is: 4,495,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,587.75 : 1,924,104.38 = 1,924,104.38 : x
  2. Step 2: Convert to fraction form
    823,587.75/1,924,104.38 = 1,924,104.38/x
  3. Step 3: Cross multiply
    823,587.75x = 1,924,104.38 × 1,924,104.38
  4. Step 4: Simplify right side
    823,587.75x = 3,702,177,645,894.14
  5. Step 5: Solve for x
    x = 3,702,177,645,894.14/823,587.75
  6. Step 6: Final answer
    x = 4,495,182.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.