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Finding the Third Proportional to 726,119 and 1,578,174

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Solution

The third proportional to 726,119 and 1,578,174 is: 3,430,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,119 : 1,578,174 = 1,578,174 : x
  2. Step 2: Convert to fraction form
    726,119/1,578,174 = 1,578,174/x
  3. Step 3: Cross multiply
    726,119x = 1,578,174 × 1,578,174
  4. Step 4: Simplify right side
    726,119x = 2,490,633,174,276
  5. Step 5: Solve for x
    x = 2,490,633,174,276/726,119
  6. Step 6: Final answer
    x = 3,430,061.98

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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.