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Finding the Third Proportional to 1,137,586.50 and 1,600,095

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Solution

The third proportional to 1,137,586.50 and 1,600,095 is: 2,250,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,586.50 : 1,600,095 = 1,600,095 : x
  2. Step 2: Convert to fraction form
    1,137,586.50/1,600,095 = 1,600,095/x
  3. Step 3: Cross multiply
    1,137,586.50x = 1,600,095 × 1,600,095
  4. Step 4: Simplify right side
    1,137,586.50x = 2,560,304,009,025
  5. Step 5: Solve for x
    x = 2,560,304,009,025/1,137,586.50
  6. Step 6: Final answer
    x = 2,250,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.