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Finding the Third Proportional to 424,844 and 926,980

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Solution

The third proportional to 424,844 and 926,980 is: 2,022,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,844 : 926,980 = 926,980 : x
  2. Step 2: Convert to fraction form
    424,844/926,980 = 926,980/x
  3. Step 3: Cross multiply
    424,844x = 926,980 × 926,980
  4. Step 4: Simplify right side
    424,844x = 859,291,920,400
  5. Step 5: Solve for x
    x = 859,291,920,400/424,844
  6. Step 6: Final answer
    x = 2,022,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.