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Finding the Third Proportional to 780,352,675.88 and 1,127,474,859.38

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Solution

The third proportional to 780,352,675.88 and 1,127,474,859.38 is: 1,629,006,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,352,675.88 : 1,127,474,859.38 = 1,127,474,859.38 : x
  2. Step 2: Convert to fraction form
    780,352,675.88/1,127,474,859.38 = 1,127,474,859.38/x
  3. Step 3: Cross multiply
    780,352,675.88x = 1,127,474,859.38 × 1,127,474,859.38
  4. Step 4: Simplify right side
    780,352,675.88x = 1,271,199,558,522,675,968
  5. Step 5: Solve for x
    x = 1,271,199,558,522,675,968/780,352,675.88
  6. Step 6: Final answer
    x = 1,629,006,470.82

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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.