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Finding the Third Proportional to 774,323.30 and 1,660,711.36

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Solution

The third proportional to 774,323.30 and 1,660,711.36 is: 3,561,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,323.30 : 1,660,711.36 = 1,660,711.36 : x
  2. Step 2: Convert to fraction form
    774,323.30/1,660,711.36 = 1,660,711.36/x
  3. Step 3: Cross multiply
    774,323.30x = 1,660,711.36 × 1,660,711.36
  4. Step 4: Simplify right side
    774,323.30x = 2,757,962,219,157.16
  5. Step 5: Solve for x
    x = 2,757,962,219,157.16/774,323.30
  6. Step 6: Final answer
    x = 3,561,770.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.