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Finding the Third Proportional to 529,861,200 and 789,612,984

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Solution

The third proportional to 529,861,200 and 789,612,984 is: 1,176,701,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,861,200 : 789,612,984 = 789,612,984 : x
  2. Step 2: Convert to fraction form
    529,861,200/789,612,984 = 789,612,984/x
  3. Step 3: Cross multiply
    529,861,200x = 789,612,984 × 789,612,984
  4. Step 4: Simplify right side
    529,861,200x = 623,488,664,501,384,192
  5. Step 5: Solve for x
    x = 623,488,664,501,384,192/529,861,200
  6. Step 6: Final answer
    x = 1,176,701,869.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.