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Finding the Third Proportional to 733,834 and 1,122,637

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Solution

The third proportional to 733,834 and 1,122,637 is: 1,717,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,834 : 1,122,637 = 1,122,637 : x
  2. Step 2: Convert to fraction form
    733,834/1,122,637 = 1,122,637/x
  3. Step 3: Cross multiply
    733,834x = 1,122,637 × 1,122,637
  4. Step 4: Simplify right side
    733,834x = 1,260,313,833,769
  5. Step 5: Solve for x
    x = 1,260,313,833,769/733,834
  6. Step 6: Final answer
    x = 1,717,437.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.