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Finding the Third Proportional to 852,078 and 1,823,833.50

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Solution

The third proportional to 852,078 and 1,823,833.50 is: 3,903,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,078 : 1,823,833.50 = 1,823,833.50 : x
  2. Step 2: Convert to fraction form
    852,078/1,823,833.50 = 1,823,833.50/x
  3. Step 3: Cross multiply
    852,078x = 1,823,833.50 × 1,823,833.50
  4. Step 4: Simplify right side
    852,078x = 3,326,368,635,722.25
  5. Step 5: Solve for x
    x = 3,326,368,635,722.25/852,078
  6. Step 6: Final answer
    x = 3,903,831.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.