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Finding the Third Proportional to 401,929 and 884,820

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Solution

The third proportional to 401,929 and 884,820 is: 1,947,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,929 : 884,820 = 884,820 : x
  2. Step 2: Convert to fraction form
    401,929/884,820 = 884,820/x
  3. Step 3: Cross multiply
    401,929x = 884,820 × 884,820
  4. Step 4: Simplify right side
    401,929x = 782,906,432,400
  5. Step 5: Solve for x
    x = 782,906,432,400/401,929
  6. Step 6: Final answer
    x = 1,947,872.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.