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Finding the Third Proportional to 901,609 and 1,903,820

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Solution

The third proportional to 901,609 and 1,903,820 is: 4,020,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,609 : 1,903,820 = 1,903,820 : x
  2. Step 2: Convert to fraction form
    901,609/1,903,820 = 1,903,820/x
  3. Step 3: Cross multiply
    901,609x = 1,903,820 × 1,903,820
  4. Step 4: Simplify right side
    901,609x = 3,624,530,592,400
  5. Step 5: Solve for x
    x = 3,624,530,592,400/901,609
  6. Step 6: Final answer
    x = 4,020,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.