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Finding the Third Proportional to 924,142.50 and 1,862,007.75

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Solution

The third proportional to 924,142.50 and 1,862,007.75 is: 3,751,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,142.50 : 1,862,007.75 = 1,862,007.75 : x
  2. Step 2: Convert to fraction form
    924,142.50/1,862,007.75 = 1,862,007.75/x
  3. Step 3: Cross multiply
    924,142.50x = 1,862,007.75 × 1,862,007.75
  4. Step 4: Simplify right side
    924,142.50x = 3,467,072,861,060.06
  5. Step 5: Solve for x
    x = 3,467,072,861,060.06/924,142.50
  6. Step 6: Final answer
    x = 3,751,664.77

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.