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Finding the Third Proportional to 726,094.50 and 1,578,123

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Solution

The third proportional to 726,094.50 and 1,578,123 is: 3,429,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,094.50 : 1,578,123 = 1,578,123 : x
  2. Step 2: Convert to fraction form
    726,094.50/1,578,123 = 1,578,123/x
  3. Step 3: Cross multiply
    726,094.50x = 1,578,123 × 1,578,123
  4. Step 4: Simplify right side
    726,094.50x = 2,490,472,203,129
  5. Step 5: Solve for x
    x = 2,490,472,203,129/726,094.50
  6. Step 6: Final answer
    x = 3,429,956.02

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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.