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Finding the Third Proportional to 476,384 and 991,970

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Solution

The third proportional to 476,384 and 991,970 is: 2,065,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,384 : 991,970 = 991,970 : x
  2. Step 2: Convert to fraction form
    476,384/991,970 = 991,970/x
  3. Step 3: Cross multiply
    476,384x = 991,970 × 991,970
  4. Step 4: Simplify right side
    476,384x = 984,004,480,900
  5. Step 5: Solve for x
    x = 984,004,480,900/476,384
  6. Step 6: Final answer
    x = 2,065,569.96

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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.