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Finding the Third Proportional to 394,280,272.69 and 841,332,921.19

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Solution

The third proportional to 394,280,272.69 and 841,332,921.19 is: 1,795,273,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,280,272.69 : 841,332,921.19 = 841,332,921.19 : x
  2. Step 2: Convert to fraction form
    394,280,272.69/841,332,921.19 = 841,332,921.19/x
  3. Step 3: Cross multiply
    394,280,272.69x = 841,332,921.19 × 841,332,921.19
  4. Step 4: Simplify right side
    394,280,272.69x = 707,841,084,273,892,096
  5. Step 5: Solve for x
    x = 707,841,084,273,892,096/394,280,272.69
  6. Step 6: Final answer
    x = 1,795,273,903.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.