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Finding the Third Proportional to 812,448 and 1,135,815.75

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Solution

The third proportional to 812,448 and 1,135,815.75 is: 1,587,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,448 : 1,135,815.75 = 1,135,815.75 : x
  2. Step 2: Convert to fraction form
    812,448/1,135,815.75 = 1,135,815.75/x
  3. Step 3: Cross multiply
    812,448x = 1,135,815.75 × 1,135,815.75
  4. Step 4: Simplify right side
    812,448x = 1,290,077,417,948.06
  5. Step 5: Solve for x
    x = 1,290,077,417,948.06/812,448
  6. Step 6: Final answer
    x = 1,587,889.22

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