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Finding the Third Proportional to 812,068.03 and 1,135,356.75

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Solution

The third proportional to 812,068.03 and 1,135,356.75 is: 1,587,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,068.03 : 1,135,356.75 = 1,135,356.75 : x
  2. Step 2: Convert to fraction form
    812,068.03/1,135,356.75 = 1,135,356.75/x
  3. Step 3: Cross multiply
    812,068.03x = 1,135,356.75 × 1,135,356.75
  4. Step 4: Simplify right side
    812,068.03x = 1,289,034,949,770.56
  5. Step 5: Solve for x
    x = 1,289,034,949,770.56/812,068.03
  6. Step 6: Final answer
    x = 1,587,348.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.