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Finding the Third Proportional to 532,471.50 and 1,146,141

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Solution

The third proportional to 532,471.50 and 1,146,141 is: 2,467,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,471.50 : 1,146,141 = 1,146,141 : x
  2. Step 2: Convert to fraction form
    532,471.50/1,146,141 = 1,146,141/x
  3. Step 3: Cross multiply
    532,471.50x = 1,146,141 × 1,146,141
  4. Step 4: Simplify right side
    532,471.50x = 1,313,639,191,881
  5. Step 5: Solve for x
    x = 1,313,639,191,881/532,471.50
  6. Step 6: Final answer
    x = 2,467,060.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.