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Finding the Third Proportional to 1,194,443,773 and 1,854,552,860

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Solution

The third proportional to 1,194,443,773 and 1,854,552,860 is: 2,879,471,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,443,773 : 1,854,552,860 = 1,854,552,860 : x
  2. Step 2: Convert to fraction form
    1,194,443,773/1,854,552,860 = 1,854,552,860/x
  3. Step 3: Cross multiply
    1,194,443,773x = 1,854,552,860 × 1,854,552,860
  4. Step 4: Simplify right side
    1,194,443,773x = 3,439,366,310,534,179,840
  5. Step 5: Solve for x
    x = 3,439,366,310,534,179,840/1,194,443,773
  6. Step 6: Final answer
    x = 2,879,471,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.