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Finding the Third Proportional to 1,945,196 and 4,226,778

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Solution

The third proportional to 1,945,196 and 4,226,778 is: 9,184,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,196 : 4,226,778 = 4,226,778 : x
  2. Step 2: Convert to fraction form
    1,945,196/4,226,778 = 4,226,778/x
  3. Step 3: Cross multiply
    1,945,196x = 4,226,778 × 4,226,778
  4. Step 4: Simplify right side
    1,945,196x = 17,865,652,261,284
  5. Step 5: Solve for x
    x = 17,865,652,261,284/1,945,196
  6. Step 6: Final answer
    x = 9,184,499.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.