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Finding the Third Proportional to 1,674,174 and 3,633,753

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Solution

The third proportional to 1,674,174 and 3,633,753 is: 7,886,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,174 : 3,633,753 = 3,633,753 : x
  2. Step 2: Convert to fraction form
    1,674,174/3,633,753 = 3,633,753/x
  3. Step 3: Cross multiply
    1,674,174x = 3,633,753 × 3,633,753
  4. Step 4: Simplify right side
    1,674,174x = 13,204,160,865,009
  5. Step 5: Solve for x
    x = 13,204,160,865,009/1,674,174
  6. Step 6: Final answer
    x = 7,886,970.45

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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.