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Finding the Third Proportional to 489,546,019 and 1,056,618,351

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Solution

The third proportional to 489,546,019 and 1,056,618,351 is: 2,280,566,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,546,019 : 1,056,618,351 = 1,056,618,351 : x
  2. Step 2: Convert to fraction form
    489,546,019/1,056,618,351 = 1,056,618,351/x
  3. Step 3: Cross multiply
    489,546,019x = 1,056,618,351 × 1,056,618,351
  4. Step 4: Simplify right side
    489,546,019x = 1,116,442,339,669,959,168
  5. Step 5: Solve for x
    x = 1,116,442,339,669,959,168/489,546,019
  6. Step 6: Final answer
    x = 2,280,566,680.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.