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Finding the Third Proportional to 1,945,191.38 and 4,226,769

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Solution

The third proportional to 1,945,191.38 and 4,226,769 is: 9,184,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,191.38 : 4,226,769 = 4,226,769 : x
  2. Step 2: Convert to fraction form
    1,945,191.38/4,226,769 = 4,226,769/x
  3. Step 3: Cross multiply
    1,945,191.38x = 4,226,769 × 4,226,769
  4. Step 4: Simplify right side
    1,945,191.38x = 17,865,576,179,361
  5. Step 5: Solve for x
    x = 17,865,576,179,361/1,945,191.38
  6. Step 6: Final answer
    x = 9,184,482.52

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Why These Related Problems?

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