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Finding the Third Proportional to 901,598 and 1,903,795

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Solution

The third proportional to 901,598 and 1,903,795 is: 4,020,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,598 : 1,903,795 = 1,903,795 : x
  2. Step 2: Convert to fraction form
    901,598/1,903,795 = 1,903,795/x
  3. Step 3: Cross multiply
    901,598x = 1,903,795 × 1,903,795
  4. Step 4: Simplify right side
    901,598x = 3,624,435,402,025
  5. Step 5: Solve for x
    x = 3,624,435,402,025/901,598
  6. Step 6: Final answer
    x = 4,020,012.69

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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.