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Finding the Third Proportional to 820,003,632 and 1,320,475,896

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Solution

The third proportional to 820,003,632 and 1,320,475,896 is: 2,126,401,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,003,632 : 1,320,475,896 = 1,320,475,896 : x
  2. Step 2: Convert to fraction form
    820,003,632/1,320,475,896 = 1,320,475,896/x
  3. Step 3: Cross multiply
    820,003,632x = 1,320,475,896 × 1,320,475,896
  4. Step 4: Simplify right side
    820,003,632x = 1,743,656,591,917,002,752
  5. Step 5: Solve for x
    x = 1,743,656,591,917,002,752/820,003,632
  6. Step 6: Final answer
    x = 2,126,401,059.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.