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Finding the Third Proportional to 476,381 and 991,966

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Solution

The third proportional to 476,381 and 991,966 is: 2,065,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,381 : 991,966 = 991,966 : x
  2. Step 2: Convert to fraction form
    476,381/991,966 = 991,966/x
  3. Step 3: Cross multiply
    476,381x = 991,966 × 991,966
  4. Step 4: Simplify right side
    476,381x = 983,996,545,156
  5. Step 5: Solve for x
    x = 983,996,545,156/476,381
  6. Step 6: Final answer
    x = 2,065,566.31

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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.