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Finding the Third Proportional to 412,307,280 and 883,635,120

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Solution

The third proportional to 412,307,280 and 883,635,120 is: 1,893,759,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,307,280 : 883,635,120 = 883,635,120 : x
  2. Step 2: Convert to fraction form
    412,307,280/883,635,120 = 883,635,120/x
  3. Step 3: Cross multiply
    412,307,280x = 883,635,120 × 883,635,120
  4. Step 4: Simplify right side
    412,307,280x = 780,811,025,297,414,400
  5. Step 5: Solve for x
    x = 780,811,025,297,414,400/412,307,280
  6. Step 6: Final answer
    x = 1,893,759,977.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.