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Finding the Third Proportional to 937,614 and 1,450,917

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Solution

The third proportional to 937,614 and 1,450,917 is: 2,245,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,614 : 1,450,917 = 1,450,917 : x
  2. Step 2: Convert to fraction form
    937,614/1,450,917 = 1,450,917/x
  3. Step 3: Cross multiply
    937,614x = 1,450,917 × 1,450,917
  4. Step 4: Simplify right side
    937,614x = 2,105,160,140,889
  5. Step 5: Solve for x
    x = 2,105,160,140,889/937,614
  6. Step 6: Final answer
    x = 2,245,231.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.