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Finding the Third Proportional to 772,452.88 and 1,131,026.75

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Solution

The third proportional to 772,452.88 and 1,131,026.75 is: 1,656,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,452.88 : 1,131,026.75 = 1,131,026.75 : x
  2. Step 2: Convert to fraction form
    772,452.88/1,131,026.75 = 1,131,026.75/x
  3. Step 3: Cross multiply
    772,452.88x = 1,131,026.75 × 1,131,026.75
  4. Step 4: Simplify right side
    772,452.88x = 1,279,221,509,215.56
  5. Step 5: Solve for x
    x = 1,279,221,509,215.56/772,452.88
  6. Step 6: Final answer
    x = 1,656,051.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.