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Finding the Third Proportional to 902,496 and 1,353,921

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Solution

The third proportional to 902,496 and 1,353,921 is: 2,031,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,496 : 1,353,921 = 1,353,921 : x
  2. Step 2: Convert to fraction form
    902,496/1,353,921 = 1,353,921/x
  3. Step 3: Cross multiply
    902,496x = 1,353,921 × 1,353,921
  4. Step 4: Simplify right side
    902,496x = 1,833,102,074,241
  5. Step 5: Solve for x
    x = 1,833,102,074,241/902,496
  6. Step 6: Final answer
    x = 2,031,147.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.