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Finding the Third Proportional to 498,285,202 and 1,090,410,334

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Solution

The third proportional to 498,285,202 and 1,090,410,334 is: 2,386,173,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,285,202 : 1,090,410,334 = 1,090,410,334 : x
  2. Step 2: Convert to fraction form
    498,285,202/1,090,410,334 = 1,090,410,334/x
  3. Step 3: Cross multiply
    498,285,202x = 1,090,410,334 × 1,090,410,334
  4. Step 4: Simplify right side
    498,285,202x = 1,188,994,696,493,991,680
  5. Step 5: Solve for x
    x = 1,188,994,696,493,991,680/498,285,202
  6. Step 6: Final answer
    x = 2,386,173,002.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.