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Finding the Third Proportional to 660,964.22 and 891,797.34

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Solution

The third proportional to 660,964.22 and 891,797.34 is: 1,203,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,964.22 : 891,797.34 = 891,797.34 : x
  2. Step 2: Convert to fraction form
    660,964.22/891,797.34 = 891,797.34/x
  3. Step 3: Cross multiply
    660,964.22x = 891,797.34 × 891,797.34
  4. Step 4: Simplify right side
    660,964.22x = 795,302,502,319.56
  5. Step 5: Solve for x
    x = 795,302,502,319.56/660,964.22
  6. Step 6: Final answer
    x = 1,203,245.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.