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Finding the Third Proportional to 856,836 and 1,848,942

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Solution

The third proportional to 856,836 and 1,848,942 is: 3,989,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,836 : 1,848,942 = 1,848,942 : x
  2. Step 2: Convert to fraction form
    856,836/1,848,942 = 1,848,942/x
  3. Step 3: Cross multiply
    856,836x = 1,848,942 × 1,848,942
  4. Step 4: Simplify right side
    856,836x = 3,418,586,519,364
  5. Step 5: Solve for x
    x = 3,418,586,519,364/856,836
  6. Step 6: Final answer
    x = 3,989,779.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.