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Finding the Third Proportional to 709,764.75 and 1,073,113.88

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Solution

The third proportional to 709,764.75 and 1,073,113.88 is: 1,622,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,764.75 : 1,073,113.88 = 1,073,113.88 : x
  2. Step 2: Convert to fraction form
    709,764.75/1,073,113.88 = 1,073,113.88/x
  3. Step 3: Cross multiply
    709,764.75x = 1,073,113.88 × 1,073,113.88
  4. Step 4: Simplify right side
    709,764.75x = 1,151,573,388,717.52
  5. Step 5: Solve for x
    x = 1,151,573,388,717.52/709,764.75
  6. Step 6: Final answer
    x = 1,622,471.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.