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Finding the Third Proportional to 424,838 and 926,968

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Solution

The third proportional to 424,838 and 926,968 is: 2,022,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,838 : 926,968 = 926,968 : x
  2. Step 2: Convert to fraction form
    424,838/926,968 = 926,968/x
  3. Step 3: Cross multiply
    424,838x = 926,968 × 926,968
  4. Step 4: Simplify right side
    424,838x = 859,269,673,024
  5. Step 5: Solve for x
    x = 859,269,673,024/424,838
  6. Step 6: Final answer
    x = 2,022,581.96

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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.