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Finding the Third Proportional to 279,284,210 and 587,510,692

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Solution

The third proportional to 279,284,210 and 587,510,692 is: 1,235,905,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,284,210 : 587,510,692 = 587,510,692 : x
  2. Step 2: Convert to fraction form
    279,284,210/587,510,692 = 587,510,692/x
  3. Step 3: Cross multiply
    279,284,210x = 587,510,692 × 587,510,692
  4. Step 4: Simplify right side
    279,284,210x = 345,168,813,214,318,848
  5. Step 5: Solve for x
    x = 345,168,813,214,318,848/279,284,210
  6. Step 6: Final answer
    x = 1,235,905,220.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.