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Finding the Third Proportional to 380,679,092 and 833,896,600

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Solution

The third proportional to 380,679,092 and 833,896,600 is: 1,826,692,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,679,092 : 833,896,600 = 833,896,600 : x
  2. Step 2: Convert to fraction form
    380,679,092/833,896,600 = 833,896,600/x
  3. Step 3: Cross multiply
    380,679,092x = 833,896,600 × 833,896,600
  4. Step 4: Simplify right side
    380,679,092x = 695,383,539,491,559,936
  5. Step 5: Solve for x
    x = 695,383,539,491,559,936/380,679,092
  6. Step 6: Final answer
    x = 1,826,692,230.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.