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Finding the Third Proportional to 924,768.75 and 1,451,061.75

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Solution

The third proportional to 924,768.75 and 1,451,061.75 is: 2,276,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,768.75 : 1,451,061.75 = 1,451,061.75 : x
  2. Step 2: Convert to fraction form
    924,768.75/1,451,061.75 = 1,451,061.75/x
  3. Step 3: Cross multiply
    924,768.75x = 1,451,061.75 × 1,451,061.75
  4. Step 4: Simplify right side
    924,768.75x = 2,105,580,202,313.06
  5. Step 5: Solve for x
    x = 2,105,580,202,313.06/924,768.75
  6. Step 6: Final answer
    x = 2,276,872.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.