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Finding the Third Proportional to 498,285,216 and 1,090,410,366

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Solution

The third proportional to 498,285,216 and 1,090,410,366 is: 2,386,173,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,285,216 : 1,090,410,366 = 1,090,410,366 : x
  2. Step 2: Convert to fraction form
    498,285,216/1,090,410,366 = 1,090,410,366/x
  3. Step 3: Cross multiply
    498,285,216x = 1,090,410,366 × 1,090,410,366
  4. Step 4: Simplify right side
    498,285,216x = 1,188,994,766,280,253,952
  5. Step 5: Solve for x
    x = 1,188,994,766,280,253,952/498,285,216
  6. Step 6: Final answer
    x = 2,386,173,075.38

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