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Finding the Third Proportional to 2,435,722 and 3,405,283.50

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Solution

The third proportional to 2,435,722 and 3,405,283.50 is: 4,760,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435,722 : 3,405,283.50 = 3,405,283.50 : x
  2. Step 2: Convert to fraction form
    2,435,722/3,405,283.50 = 3,405,283.50/x
  3. Step 3: Cross multiply
    2,435,722x = 3,405,283.50 × 3,405,283.50
  4. Step 4: Simplify right side
    2,435,722x = 11,595,955,715,372.25
  5. Step 5: Solve for x
    x = 11,595,955,715,372.25/2,435,722
  6. Step 6: Final answer
    x = 4,760,787.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.