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Finding the Third Proportional to 812,734.50 and 1,287,993

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Solution

The third proportional to 812,734.50 and 1,287,993 is: 2,041,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,734.50 : 1,287,993 = 1,287,993 : x
  2. Step 2: Convert to fraction form
    812,734.50/1,287,993 = 1,287,993/x
  3. Step 3: Cross multiply
    812,734.50x = 1,287,993 × 1,287,993
  4. Step 4: Simplify right side
    812,734.50x = 1,658,925,968,049
  5. Step 5: Solve for x
    x = 1,658,925,968,049/812,734.50
  6. Step 6: Final answer
    x = 2,041,165.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.