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Finding the Third Proportional to 852,889.50 and 1,838,632.50

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Solution

The third proportional to 852,889.50 and 1,838,632.50 is: 3,963,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,889.50 : 1,838,632.50 = 1,838,632.50 : x
  2. Step 2: Convert to fraction form
    852,889.50/1,838,632.50 = 1,838,632.50/x
  3. Step 3: Cross multiply
    852,889.50x = 1,838,632.50 × 1,838,632.50
  4. Step 4: Simplify right side
    852,889.50x = 3,380,569,470,056.25
  5. Step 5: Solve for x
    x = 3,380,569,470,056.25/852,889.50
  6. Step 6: Final answer
    x = 3,963,666.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.