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Finding the Third Proportional to 660,966 and 891,796

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Solution

The third proportional to 660,966 and 891,796 is: 1,203,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,966 : 891,796 = 891,796 : x
  2. Step 2: Convert to fraction form
    660,966/891,796 = 891,796/x
  3. Step 3: Cross multiply
    660,966x = 891,796 × 891,796
  4. Step 4: Simplify right side
    660,966x = 795,300,105,616
  5. Step 5: Solve for x
    x = 795,300,105,616/660,966
  6. Step 6: Final answer
    x = 1,203,239.06

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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.