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Finding the Third Proportional to 1,102,936.50 and 2,317,167

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Solution

The third proportional to 1,102,936.50 and 2,317,167 is: 4,868,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,936.50 : 2,317,167 = 2,317,167 : x
  2. Step 2: Convert to fraction form
    1,102,936.50/2,317,167 = 2,317,167/x
  3. Step 3: Cross multiply
    1,102,936.50x = 2,317,167 × 2,317,167
  4. Step 4: Simplify right side
    1,102,936.50x = 5,369,262,905,889
  5. Step 5: Solve for x
    x = 5,369,262,905,889/1,102,936.50
  6. Step 6: Final answer
    x = 4,868,152.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.