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Finding the Third Proportional to 2,998,178 and 4,795,347

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Solution

The third proportional to 2,998,178 and 4,795,347 is: 7,669,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,178 : 4,795,347 = 4,795,347 : x
  2. Step 2: Convert to fraction form
    2,998,178/4,795,347 = 4,795,347/x
  3. Step 3: Cross multiply
    2,998,178x = 4,795,347 × 4,795,347
  4. Step 4: Simplify right side
    2,998,178x = 22,995,352,850,409
  5. Step 5: Solve for x
    x = 22,995,352,850,409/2,998,178
  6. Step 6: Final answer
    x = 7,669,775.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.