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Finding the Third Proportional to 731,900,796.94 and 1,115,011,902.94

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Solution

The third proportional to 731,900,796.94 and 1,115,011,902.94 is: 1,698,661,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,900,796.94 : 1,115,011,902.94 = 1,115,011,902.94 : x
  2. Step 2: Convert to fraction form
    731,900,796.94/1,115,011,902.94 = 1,115,011,902.94/x
  3. Step 3: Cross multiply
    731,900,796.94x = 1,115,011,902.94 × 1,115,011,902.94
  4. Step 4: Simplify right side
    731,900,796.94x = 1,243,251,543,692,304,896
  5. Step 5: Solve for x
    x = 1,243,251,543,692,304,896/731,900,796.94
  6. Step 6: Final answer
    x = 1,698,661,278.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.