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Finding the Third Proportional to 852,258.38 and 1,893,695.63

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Solution

The third proportional to 852,258.38 and 1,893,695.63 is: 4,207,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,258.38 : 1,893,695.63 = 1,893,695.63 : x
  2. Step 2: Convert to fraction form
    852,258.38/1,893,695.63 = 1,893,695.63/x
  3. Step 3: Cross multiply
    852,258.38x = 1,893,695.63 × 1,893,695.63
  4. Step 4: Simplify right side
    852,258.38x = 3,586,083,120,144.14
  5. Step 5: Solve for x
    x = 3,586,083,120,144.14/852,258.38
  6. Step 6: Final answer
    x = 4,207,741.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.