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Finding the Third Proportional to 476,109 and 991,674

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Solution

The third proportional to 476,109 and 991,674 is: 2,065,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,109 : 991,674 = 991,674 : x
  2. Step 2: Convert to fraction form
    476,109/991,674 = 991,674/x
  3. Step 3: Cross multiply
    476,109x = 991,674 × 991,674
  4. Step 4: Simplify right side
    476,109x = 983,417,322,276
  5. Step 5: Solve for x
    x = 983,417,322,276/476,109
  6. Step 6: Final answer
    x = 2,065,529.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.