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Finding the Third Proportional to 464,562 and 984,946

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Solution

The third proportional to 464,562 and 984,946 is: 2,088,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,562 : 984,946 = 984,946 : x
  2. Step 2: Convert to fraction form
    464,562/984,946 = 984,946/x
  3. Step 3: Cross multiply
    464,562x = 984,946 × 984,946
  4. Step 4: Simplify right side
    464,562x = 970,118,622,916
  5. Step 5: Solve for x
    x = 970,118,622,916/464,562
  6. Step 6: Final answer
    x = 2,088,243.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.