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Finding the Third Proportional to 284,817,960 and 584,734,968

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Solution

The third proportional to 284,817,960 and 584,734,968 is: 1,200,468,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,817,960 : 584,734,968 = 584,734,968 : x
  2. Step 2: Convert to fraction form
    284,817,960/584,734,968 = 584,734,968/x
  3. Step 3: Cross multiply
    284,817,960x = 584,734,968 × 584,734,968
  4. Step 4: Simplify right side
    284,817,960x = 341,914,982,801,961,024
  5. Step 5: Solve for x
    x = 341,914,982,801,961,024/284,817,960
  6. Step 6: Final answer
    x = 1,200,468,477.49

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.