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Finding the Third Proportional to 780,352,845 and 1,127,475,098

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Solution

The third proportional to 780,352,845 and 1,127,475,098 is: 1,629,006,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,352,845 : 1,127,475,098 = 1,127,475,098 : x
  2. Step 2: Convert to fraction form
    780,352,845/1,127,475,098 = 1,127,475,098/x
  3. Step 3: Cross multiply
    780,352,845x = 1,127,475,098 × 1,127,475,098
  4. Step 4: Simplify right side
    780,352,845x = 1,271,200,096,610,109,696
  5. Step 5: Solve for x
    x = 1,271,200,096,610,109,696/780,352,845
  6. Step 6: Final answer
    x = 1,629,006,807.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.