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Finding the Third Proportional to 461,362 and 991,694

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Solution

The third proportional to 461,362 and 991,694 is: 2,131,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,362 : 991,694 = 991,694 : x
  2. Step 2: Convert to fraction form
    461,362/991,694 = 991,694/x
  3. Step 3: Cross multiply
    461,362x = 991,694 × 991,694
  4. Step 4: Simplify right side
    461,362x = 983,456,989,636
  5. Step 5: Solve for x
    x = 983,456,989,636/461,362
  6. Step 6: Final answer
    x = 2,131,638.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.